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Finding the Fourth Proportional to 117,396.71, 176,018.50 and 77,294.32

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Solution

The fourth proportional to 117,396.71, 176,018.50 and 77,294.32 is: 115,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,396.71 : 176,018.50 = 77,294.32 : x
  2. Step 2: Convert to fraction form
    117,396.71/176,018.50 = 77,294.32/x
  3. Step 3: Cross multiply
    117,396.71x = 176,018.50 × 77,294.32
  4. Step 4: Simplify right side
    117,396.71x = 13,605,229,921.49
  5. Step 5: Solve for x
    x = 13,605,229,921.49/117,396.71
  6. Step 6: Final answer
    x = 115,891.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.