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Finding the Fourth Proportional to 129,364.38, 178,522.11 and 72,776.22

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Solution

The fourth proportional to 129,364.38, 178,522.11 and 72,776.22 is: 100,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,364.38 : 178,522.11 = 72,776.22 : x
  2. Step 2: Convert to fraction form
    129,364.38/178,522.11 = 72,776.22/x
  3. Step 3: Cross multiply
    129,364.38x = 178,522.11 × 72,776.22
  4. Step 4: Simplify right side
    129,364.38x = 12,992,164,352.22
  5. Step 5: Solve for x
    x = 12,992,164,352.22/129,364.38
  6. Step 6: Final answer
    x = 100,430.77

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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.