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Finding the Fourth Proportional to 178,081.40, 266,895.30 and 72,781.40

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Solution

The fourth proportional to 178,081.40, 266,895.30 and 72,781.40 is: 109,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,081.40 : 266,895.30 = 72,781.40 : x
  2. Step 2: Convert to fraction form
    178,081.40/266,895.30 = 72,781.40/x
  3. Step 3: Cross multiply
    178,081.40x = 266,895.30 × 72,781.40
  4. Step 4: Simplify right side
    178,081.40x = 19,425,013,587.42
  5. Step 5: Solve for x
    x = 19,425,013,587.42/178,081.40
  6. Step 6: Final answer
    x = 109,079.41

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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.