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Finding the Fourth Proportional to 292,200.97, 438,570.85 and 148,207.85

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Solution

The fourth proportional to 292,200.97, 438,570.85 and 148,207.85 is: 222,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,200.97 : 438,570.85 = 148,207.85 : x
  2. Step 2: Convert to fraction form
    292,200.97/438,570.85 = 148,207.85/x
  3. Step 3: Cross multiply
    292,200.97x = 438,570.85 × 148,207.85
  4. Step 4: Simplify right side
    292,200.97x = 64,999,642,751.17
  5. Step 5: Solve for x
    x = 64,999,642,751.17/292,200.97
  6. Step 6: Final answer
    x = 222,448.42

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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.