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Finding the Fourth Proportional to 116,468.60, 174,834.30 and 77,102.60

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Solution

The fourth proportional to 116,468.60, 174,834.30 and 77,102.60 is: 115,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,468.60 : 174,834.30 = 77,102.60 : x
  2. Step 2: Convert to fraction form
    116,468.60/174,834.30 = 77,102.60/x
  3. Step 3: Cross multiply
    116,468.60x = 174,834.30 × 77,102.60
  4. Step 4: Simplify right side
    116,468.60x = 13,480,179,099.18
  5. Step 5: Solve for x
    x = 13,480,179,099.18/116,468.60
  6. Step 6: Final answer
    x = 115,740.89

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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.