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Finding the Fourth Proportional to 157,878.28, 217,869.46 and 86,256.76

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Solution

The fourth proportional to 157,878.28, 217,869.46 and 86,256.76 is: 119,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,878.28 : 217,869.46 = 86,256.76 : x
  2. Step 2: Convert to fraction form
    157,878.28/217,869.46 = 86,256.76/x
  3. Step 3: Cross multiply
    157,878.28x = 217,869.46 × 86,256.76
  4. Step 4: Simplify right side
    157,878.28x = 18,792,713,722.55
  5. Step 5: Solve for x
    x = 18,792,713,722.55/157,878.28
  6. Step 6: Final answer
    x = 119,032.93

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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.