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Finding the Fourth Proportional to 161,521.84, 242,332.38 and 82,691.40

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Solution

The fourth proportional to 161,521.84, 242,332.38 and 82,691.40 is: 124,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,521.84 : 242,332.38 = 82,691.40 : x
  2. Step 2: Convert to fraction form
    161,521.84/242,332.38 = 82,691.40/x
  3. Step 3: Cross multiply
    161,521.84x = 242,332.38 × 82,691.40
  4. Step 4: Simplify right side
    161,521.84x = 20,038,803,767.53
  5. Step 5: Solve for x
    x = 20,038,803,767.53/161,521.84
  6. Step 6: Final answer
    x = 124,062.50

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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.