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Finding the Fourth Proportional to 116,463.60, 174,826.80 and 77,097.60

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Solution

The fourth proportional to 116,463.60, 174,826.80 and 77,097.60 is: 115,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,463.60 : 174,826.80 = 77,097.60 : x
  2. Step 2: Convert to fraction form
    116,463.60/174,826.80 = 77,097.60/x
  3. Step 3: Cross multiply
    116,463.60x = 174,826.80 × 77,097.60
  4. Step 4: Simplify right side
    116,463.60x = 13,478,726,695.68
  5. Step 5: Solve for x
    x = 13,478,726,695.68/116,463.60
  6. Step 6: Final answer
    x = 115,733.39

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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.