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Finding the Fourth Proportional to 292,151.52, 438,230.40 and 92,468.16

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Solution

The fourth proportional to 292,151.52, 438,230.40 and 92,468.16 is: 138,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,151.52 : 438,230.40 = 92,468.16 : x
  2. Step 2: Convert to fraction form
    292,151.52/438,230.40 = 92,468.16/x
  3. Step 3: Cross multiply
    292,151.52x = 438,230.40 × 92,468.16
  4. Step 4: Simplify right side
    292,151.52x = 40,522,358,744.06
  5. Step 5: Solve for x
    x = 40,522,358,744.06/292,151.52
  6. Step 6: Final answer
    x = 138,703.23

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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.