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Finding the Fourth Proportional to 230,364.90, 317,905.14 and 128,396.93

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Solution

The fourth proportional to 230,364.90, 317,905.14 and 128,396.93 is: 177,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,364.90 : 317,905.14 = 128,396.93 : x
  2. Step 2: Convert to fraction form
    230,364.90/317,905.14 = 128,396.93/x
  3. Step 3: Cross multiply
    230,364.90x = 317,905.14 × 128,396.93
  4. Step 4: Simplify right side
    230,364.90x = 40,818,044,007.22
  5. Step 5: Solve for x
    x = 40,818,044,007.22/230,364.90
  6. Step 6: Final answer
    x = 177,188.64

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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.