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Finding the Fourth Proportional to 277,545.84, 416,358.04 and 85,436.11

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Solution

The fourth proportional to 277,545.84, 416,358.04 and 85,436.11 is: 128,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,545.84 : 416,358.04 = 85,436.11 : x
  2. Step 2: Convert to fraction form
    277,545.84/416,358.04 = 85,436.11/x
  3. Step 3: Cross multiply
    277,545.84x = 416,358.04 × 85,436.11
  4. Step 4: Simplify right side
    277,545.84x = 35,572,011,304.82
  5. Step 5: Solve for x
    x = 35,572,011,304.82/277,545.84
  6. Step 6: Final answer
    x = 128,166.26

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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.