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Finding the Fourth Proportional to 116,658.06, 174,808.80 and 78,566.46

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Solution

The fourth proportional to 116,658.06, 174,808.80 and 78,566.46 is: 117,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658.06 : 174,808.80 = 78,566.46 : x
  2. Step 2: Convert to fraction form
    116,658.06/174,808.80 = 78,566.46/x
  3. Step 3: Cross multiply
    116,658.06x = 174,808.80 × 78,566.46
  4. Step 4: Simplify right side
    116,658.06x = 13,734,107,937.32
  5. Step 5: Solve for x
    x = 13,734,107,937.32/116,658.06
  6. Step 6: Final answer
    x = 117,729.61

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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.