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Finding the Fourth Proportional to 116,464.60, 174,828.30 and 77,098.60

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Solution

The fourth proportional to 116,464.60, 174,828.30 and 77,098.60 is: 115,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,464.60 : 174,828.30 = 77,098.60 : x
  2. Step 2: Convert to fraction form
    116,464.60/174,828.30 = 77,098.60/x
  3. Step 3: Cross multiply
    116,464.60x = 174,828.30 × 77,098.60
  4. Step 4: Simplify right side
    116,464.60x = 13,479,017,170.38
  5. Step 5: Solve for x
    x = 13,479,017,170.38/116,464.60
  6. Step 6: Final answer
    x = 115,734.89

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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.