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Finding the Fourth Proportional to 292,422.20, 438,827.70 and 166,062.20

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Solution

The fourth proportional to 292,422.20, 438,827.70 and 166,062.20 is: 249,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,422.20 : 438,827.70 = 166,062.20 : x
  2. Step 2: Convert to fraction form
    292,422.20/438,827.70 = 166,062.20/x
  3. Step 3: Cross multiply
    292,422.20x = 438,827.70 × 166,062.20
  4. Step 4: Simplify right side
    292,422.20x = 72,872,693,282.94
  5. Step 5: Solve for x
    x = 72,872,693,282.94/292,422.20
  6. Step 6: Final answer
    x = 249,203.70

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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.