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Finding the Fourth Proportional to 230,059.34, 317,370.62 and 148,366.06

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Solution

The fourth proportional to 230,059.34, 317,370.62 and 148,366.06 is: 204,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,059.34 : 317,370.62 = 148,366.06 : x
  2. Step 2: Convert to fraction form
    230,059.34/317,370.62 = 148,366.06/x
  3. Step 3: Cross multiply
    230,059.34x = 317,370.62 × 148,366.06
  4. Step 4: Simplify right side
    230,059.34x = 47,087,028,449.16
  5. Step 5: Solve for x
    x = 47,087,028,449.16/230,059.34
  6. Step 6: Final answer
    x = 204,673.40

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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.