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Finding the Fourth Proportional to 128,332.75, 192,531.93 and 53,428

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Solution

The fourth proportional to 128,332.75, 192,531.93 and 53,428 is: 80,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,332.75 : 192,531.93 = 53,428 : x
  2. Step 2: Convert to fraction form
    128,332.75/192,531.93 = 53,428/x
  3. Step 3: Cross multiply
    128,332.75x = 192,531.93 × 53,428
  4. Step 4: Simplify right side
    128,332.75x = 10,286,595,956.04
  5. Step 5: Solve for x
    x = 10,286,595,956.04/128,332.75
  6. Step 6: Final answer
    x = 80,155.66

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