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Finding the Fourth Proportional to 292,042.40, 438,031.20 and 81,701.60

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Solution

The fourth proportional to 292,042.40, 438,031.20 and 81,701.60 is: 122,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,042.40 : 438,031.20 = 81,701.60 : x
  2. Step 2: Convert to fraction form
    292,042.40/438,031.20 = 81,701.60/x
  3. Step 3: Cross multiply
    292,042.40x = 438,031.20 × 81,701.60
  4. Step 4: Simplify right side
    292,042.40x = 35,787,849,889.92
  5. Step 5: Solve for x
    x = 35,787,849,889.92/292,042.40
  6. Step 6: Final answer
    x = 122,543.34

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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.