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Finding the Fourth Proportional to 292,144.71, 438,212.49 and 149,907.93

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Solution

The fourth proportional to 292,144.71, 438,212.49 and 149,907.93 is: 224,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,144.71 : 438,212.49 = 149,907.93 : x
  2. Step 2: Convert to fraction form
    292,144.71/438,212.49 = 149,907.93/x
  3. Step 3: Cross multiply
    292,144.71x = 438,212.49 × 149,907.93
  4. Step 4: Simplify right side
    292,144.71x = 65,691,527,276.05
  5. Step 5: Solve for x
    x = 65,691,527,276.05/292,144.71
  6. Step 6: Final answer
    x = 224,859.55

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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.