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Finding the Fourth Proportional to 291,162.60, 437,017.28 and 149,113.31

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Solution

The fourth proportional to 291,162.60, 437,017.28 and 149,113.31 is: 223,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,162.60 : 437,017.28 = 149,113.31 : x
  2. Step 2: Convert to fraction form
    291,162.60/437,017.28 = 149,113.31/x
  3. Step 3: Cross multiply
    291,162.60x = 437,017.28 × 149,113.31
  4. Step 4: Simplify right side
    291,162.60x = 65,165,090,217.34
  5. Step 5: Solve for x
    x = 65,165,090,217.34/291,162.60
  6. Step 6: Final answer
    x = 223,809.96

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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.