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Finding the Fourth Proportional to 127,709, 176,066.64 and 89,417.04

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Solution

The fourth proportional to 127,709, 176,066.64 and 89,417.04 is: 123,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,709 : 176,066.64 = 89,417.04 : x
  2. Step 2: Convert to fraction form
    127,709/176,066.64 = 89,417.04/x
  3. Step 3: Cross multiply
    127,709x = 176,066.64 × 89,417.04
  4. Step 4: Simplify right side
    127,709x = 15,743,357,791.55
  5. Step 5: Solve for x
    x = 15,743,357,791.55/127,709
  6. Step 6: Final answer
    x = 123,275.24

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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.