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Finding the Fourth Proportional to 157,568.29, 217,404.88 and 96,298.81

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Solution

The fourth proportional to 157,568.29, 217,404.88 and 96,298.81 is: 132,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,568.29 : 217,404.88 = 96,298.81 : x
  2. Step 2: Convert to fraction form
    157,568.29/217,404.88 = 96,298.81/x
  3. Step 3: Cross multiply
    157,568.29x = 217,404.88 × 96,298.81
  4. Step 4: Simplify right side
    157,568.29x = 20,935,831,232.19
  5. Step 5: Solve for x
    x = 20,935,831,232.19/157,568.29
  6. Step 6: Final answer
    x = 132,868.30

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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.