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Finding the Fourth Proportional to 292,220.72, 438,343.56 and 114,766.20

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Solution

The fourth proportional to 292,220.72, 438,343.56 and 114,766.20 is: 172,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,220.72 : 438,343.56 = 114,766.20 : x
  2. Step 2: Convert to fraction form
    292,220.72/438,343.56 = 114,766.20/x
  3. Step 3: Cross multiply
    292,220.72x = 438,343.56 × 114,766.20
  4. Step 4: Simplify right side
    292,220.72x = 50,307,024,675.67
  5. Step 5: Solve for x
    x = 50,307,024,675.67/292,220.72
  6. Step 6: Final answer
    x = 172,154.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.