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Finding the Fourth Proportional to 175,806.16, 242,552.82 and 99,314.08

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Solution

The fourth proportional to 175,806.16, 242,552.82 and 99,314.08 is: 137,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,806.16 : 242,552.82 = 99,314.08 : x
  2. Step 2: Convert to fraction form
    175,806.16/242,552.82 = 99,314.08/x
  3. Step 3: Cross multiply
    175,806.16x = 242,552.82 × 99,314.08
  4. Step 4: Simplify right side
    175,806.16x = 24,088,910,169.71
  5. Step 5: Solve for x
    x = 24,088,910,169.71/175,806.16
  6. Step 6: Final answer
    x = 137,019.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.