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Finding the Fourth Proportional to 262,042.47, 361,631.42 and 147,357.20

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Solution

The fourth proportional to 262,042.47, 361,631.42 and 147,357.20 is: 203,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,042.47 : 361,631.42 = 147,357.20 : x
  2. Step 2: Convert to fraction form
    262,042.47/361,631.42 = 147,357.20/x
  3. Step 3: Cross multiply
    262,042.47x = 361,631.42 × 147,357.20
  4. Step 4: Simplify right side
    262,042.47x = 53,288,993,483.22
  5. Step 5: Solve for x
    x = 53,288,993,483.22/262,042.47
  6. Step 6: Final answer
    x = 203,360.14

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1.5x scale

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.