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Finding the Fourth Proportional to 116,434.50, 174,672.81 and 77,024.22

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Solution

The fourth proportional to 116,434.50, 174,672.81 and 77,024.22 is: 115,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,434.50 : 174,672.81 = 77,024.22 : x
  2. Step 2: Convert to fraction form
    116,434.50/174,672.81 = 77,024.22/x
  3. Step 3: Cross multiply
    116,434.50x = 174,672.81 × 77,024.22
  4. Step 4: Simplify right side
    116,434.50x = 13,454,036,945.46
  5. Step 5: Solve for x
    x = 13,454,036,945.46/116,434.50
  6. Step 6: Final answer
    x = 115,550.26

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