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Finding the Fourth Proportional to 157,097.56, 233,869.64 and 156,163.52

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Solution

The fourth proportional to 157,097.56, 233,869.64 and 156,163.52 is: 232,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097.56 : 233,869.64 = 156,163.52 : x
  2. Step 2: Convert to fraction form
    157,097.56/233,869.64 = 156,163.52/x
  3. Step 3: Cross multiply
    157,097.56x = 233,869.64 × 156,163.52
  4. Step 4: Simplify right side
    157,097.56x = 36,521,906,203.53
  5. Step 5: Solve for x
    x = 36,521,906,203.53/157,097.56
  6. Step 6: Final answer
    x = 232,479.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.