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Finding the Fourth Proportional to 128,266.84, 177,008.16 and 71,678.08

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Solution

The fourth proportional to 128,266.84, 177,008.16 and 71,678.08 is: 98,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,266.84 : 177,008.16 = 71,678.08 : x
  2. Step 2: Convert to fraction form
    128,266.84/177,008.16 = 71,678.08/x
  3. Step 3: Cross multiply
    128,266.84x = 177,008.16 × 71,678.08
  4. Step 4: Simplify right side
    128,266.84x = 12,687,605,053.13
  5. Step 5: Solve for x
    x = 12,687,605,053.13/128,266.84
  6. Step 6: Final answer
    x = 98,915.71

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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.