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Finding the Fourth Proportional to 145,047.84, 217,634.16 and 78,535.50

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Solution

The fourth proportional to 145,047.84, 217,634.16 and 78,535.50 is: 117,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,047.84 : 217,634.16 = 78,535.50 : x
  2. Step 2: Convert to fraction form
    145,047.84/217,634.16 = 78,535.50/x
  3. Step 3: Cross multiply
    145,047.84x = 217,634.16 × 78,535.50
  4. Step 4: Simplify right side
    145,047.84x = 17,092,007,572.68
  5. Step 5: Solve for x
    x = 17,092,007,572.68/145,047.84
  6. Step 6: Final answer
    x = 117,837.04

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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.