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Finding the Fourth Proportional to 129,375.09, 178,501.77 and 77,678.76

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Solution

The fourth proportional to 129,375.09, 178,501.77 and 77,678.76 is: 107,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,375.09 : 178,501.77 = 77,678.76 : x
  2. Step 2: Convert to fraction form
    129,375.09/178,501.77 = 77,678.76/x
  3. Step 3: Cross multiply
    129,375.09x = 178,501.77 × 77,678.76
  4. Step 4: Simplify right side
    129,375.09x = 13,865,796,151.41
  5. Step 5: Solve for x
    x = 13,865,796,151.41/129,375.09
  6. Step 6: Final answer
    x = 107,175.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.