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Finding the Fourth Proportional to 347,661.20, 521,549.40 and 148,077.20

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Solution

The fourth proportional to 347,661.20, 521,549.40 and 148,077.20 is: 222,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,661.20 : 521,549.40 = 148,077.20 : x
  2. Step 2: Convert to fraction form
    347,661.20/521,549.40 = 148,077.20/x
  3. Step 3: Cross multiply
    347,661.20x = 521,549.40 × 148,077.20
  4. Step 4: Simplify right side
    347,661.20x = 77,229,574,813.68
  5. Step 5: Solve for x
    x = 77,229,574,813.68/347,661.20
  6. Step 6: Final answer
    x = 222,140.33

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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.