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Finding the Fourth Proportional to 292,053.40, 438,047.70 and 81,712.60

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Solution

The fourth proportional to 292,053.40, 438,047.70 and 81,712.60 is: 122,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,053.40 : 438,047.70 = 81,712.60 : x
  2. Step 2: Convert to fraction form
    292,053.40/438,047.70 = 81,712.60/x
  3. Step 3: Cross multiply
    292,053.40x = 438,047.70 × 81,712.60
  4. Step 4: Simplify right side
    292,053.40x = 35,794,016,491.02
  5. Step 5: Solve for x
    x = 35,794,016,491.02/292,053.40
  6. Step 6: Final answer
    x = 122,559.83

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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.