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Finding the Fourth Proportional to 157,356, 235,862.28 and 77,448.96

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Solution

The fourth proportional to 157,356, 235,862.28 and 77,448.96 is: 116,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,356 : 235,862.28 = 77,448.96 : x
  2. Step 2: Convert to fraction form
    157,356/235,862.28 = 77,448.96/x
  3. Step 3: Cross multiply
    157,356x = 235,862.28 × 77,448.96
  4. Step 4: Simplify right side
    157,356x = 18,267,288,289.23
  5. Step 5: Solve for x
    x = 18,267,288,289.23/157,356
  6. Step 6: Final answer
    x = 116,088.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.