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Finding the Fourth Proportional to 292,080.42, 437,963.90 and 149,867.10

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Solution

The fourth proportional to 292,080.42, 437,963.90 and 149,867.10 is: 224,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,080.42 : 437,963.90 = 149,867.10 : x
  2. Step 2: Convert to fraction form
    292,080.42/437,963.90 = 149,867.10/x
  3. Step 3: Cross multiply
    292,080.42x = 437,963.90 × 149,867.10
  4. Step 4: Simplify right side
    292,080.42x = 65,636,378,848.35
  5. Step 5: Solve for x
    x = 65,636,378,848.35/292,080.42
  6. Step 6: Final answer
    x = 224,720.23

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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.