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Finding the Fourth Proportional to 127,678.96, 176,193.84 and 71,089.12

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Solution

The fourth proportional to 127,678.96, 176,193.84 and 71,089.12 is: 98,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,678.96 : 176,193.84 = 71,089.12 : x
  2. Step 2: Convert to fraction form
    127,678.96/176,193.84 = 71,089.12/x
  3. Step 3: Cross multiply
    127,678.96x = 176,193.84 × 71,089.12
  4. Step 4: Simplify right side
    127,678.96x = 12,525,465,035.02
  5. Step 5: Solve for x
    x = 12,525,465,035.02/127,678.96
  6. Step 6: Final answer
    x = 98,101.25

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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.