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Finding the Fourth Proportional to 161,792.64, 242,689.50 and 49,472.40

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Solution

The fourth proportional to 161,792.64, 242,689.50 and 49,472.40 is: 74,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,792.64 : 242,689.50 = 49,472.40 : x
  2. Step 2: Convert to fraction form
    161,792.64/242,689.50 = 49,472.40/x
  3. Step 3: Cross multiply
    161,792.64x = 242,689.50 × 49,472.40
  4. Step 4: Simplify right side
    161,792.64x = 12,006,432,019.80
  5. Step 5: Solve for x
    x = 12,006,432,019.80/161,792.64
  6. Step 6: Final answer
    x = 74,208.77

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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.