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Finding the Fourth Proportional to 262,207.76, 361,847.12 and 149,030.52

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Solution

The fourth proportional to 262,207.76, 361,847.12 and 149,030.52 is: 205,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,207.76 : 361,847.12 = 149,030.52 : x
  2. Step 2: Convert to fraction form
    262,207.76/361,847.12 = 149,030.52/x
  3. Step 3: Cross multiply
    262,207.76x = 361,847.12 × 149,030.52
  4. Step 4: Simplify right side
    262,207.76x = 53,926,264,454.10
  5. Step 5: Solve for x
    x = 53,926,264,454.10/262,207.76
  6. Step 6: Final answer
    x = 205,662.35

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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.