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Finding the Fourth Proportional to 242,061.48, 362,944.08 and 99,862.74

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Solution

The fourth proportional to 242,061.48, 362,944.08 and 99,862.74 is: 149,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,061.48 : 362,944.08 = 99,862.74 : x
  2. Step 2: Convert to fraction form
    242,061.48/362,944.08 = 99,862.74/x
  3. Step 3: Cross multiply
    242,061.48x = 362,944.08 × 99,862.74
  4. Step 4: Simplify right side
    242,061.48x = 36,244,590,295.58
  5. Step 5: Solve for x
    x = 36,244,590,295.58/242,061.48
  6. Step 6: Final answer
    x = 149,732.99

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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.