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Finding the Fourth Proportional to 262,565.04, 362,348.10 and 149,395.08

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Solution

The fourth proportional to 262,565.04, 362,348.10 and 149,395.08 is: 206,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,565.04 : 362,348.10 = 149,395.08 : x
  2. Step 2: Convert to fraction form
    262,565.04/362,348.10 = 149,395.08/x
  3. Step 3: Cross multiply
    262,565.04x = 362,348.10 × 149,395.08
  4. Step 4: Simplify right side
    262,565.04x = 54,133,023,387.35
  5. Step 5: Solve for x
    x = 54,133,023,387.35/262,565.04
  6. Step 6: Final answer
    x = 206,169.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.