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Finding the Fourth Proportional to 277,435.38, 382,862.13 and 156,581.76

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Solution

The fourth proportional to 277,435.38, 382,862.13 and 156,581.76 is: 216,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,435.38 : 382,862.13 = 156,581.76 : x
  2. Step 2: Convert to fraction form
    277,435.38/382,862.13 = 156,581.76/x
  3. Step 3: Cross multiply
    277,435.38x = 382,862.13 × 156,581.76
  4. Step 4: Simplify right side
    277,435.38x = 59,949,226,152.75
  5. Step 5: Solve for x
    x = 59,949,226,152.75/277,435.38
  6. Step 6: Final answer
    x = 216,083.57

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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.