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Finding the Fourth Proportional to 292,147.63, 438,177.53 and 92,442.06

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Solution

The fourth proportional to 292,147.63, 438,177.53 and 92,442.06 is: 138,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,147.63 : 438,177.53 = 92,442.06 : x
  2. Step 2: Convert to fraction form
    292,147.63/438,177.53 = 92,442.06/x
  3. Step 3: Cross multiply
    292,147.63x = 438,177.53 × 92,442.06
  4. Step 4: Simplify right side
    292,147.63x = 40,506,033,750.02
  5. Step 5: Solve for x
    x = 40,506,033,750.02/292,147.63
  6. Step 6: Final answer
    x = 138,649.20

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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.