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Finding the Fourth Proportional to 364,151.90, 546,232.92 and 139,523.72

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Solution

The fourth proportional to 364,151.90, 546,232.92 and 139,523.72 is: 209,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,151.90 : 546,232.92 = 139,523.72 : x
  2. Step 2: Convert to fraction form
    364,151.90/546,232.92 = 139,523.72/x
  3. Step 3: Cross multiply
    364,151.90x = 546,232.92 × 139,523.72
  4. Step 4: Simplify right side
    364,151.90x = 76,212,445,730.48
  5. Step 5: Solve for x
    x = 76,212,445,730.48/364,151.90
  6. Step 6: Final answer
    x = 209,287.51

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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.