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Finding the Fourth Proportional to 230,089.71, 317,412.36 and 148,396.35

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Solution

The fourth proportional to 230,089.71, 317,412.36 and 148,396.35 is: 204,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,089.71 : 317,412.36 = 148,396.35 : x
  2. Step 2: Convert to fraction form
    230,089.71/317,412.36 = 148,396.35/x
  3. Step 3: Cross multiply
    230,089.71x = 317,412.36 × 148,396.35
  4. Step 4: Simplify right side
    230,089.71x = 47,102,835,668.89
  5. Step 5: Solve for x
    x = 47,102,835,668.89/230,089.71
  6. Step 6: Final answer
    x = 204,715.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.