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Finding the Fourth Proportional to 292,566.97, 438,866.85 and 82,188.50

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Solution

The fourth proportional to 292,566.97, 438,866.85 and 82,188.50 is: 123,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,566.97 : 438,866.85 = 82,188.50 : x
  2. Step 2: Convert to fraction form
    292,566.97/438,866.85 = 82,188.50/x
  3. Step 3: Cross multiply
    292,566.97x = 438,866.85 × 82,188.50
  4. Step 4: Simplify right side
    292,566.97x = 36,069,808,101.23
  5. Step 5: Solve for x
    x = 36,069,808,101.23/292,566.97
  6. Step 6: Final answer
    x = 123,287.36

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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.