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Finding the Fourth Proportional to 262,088.96, 361,638.54 and 147,352.46

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Solution

The fourth proportional to 262,088.96, 361,638.54 and 147,352.46 is: 203,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,088.96 : 361,638.54 = 147,352.46 : x
  2. Step 2: Convert to fraction form
    262,088.96/361,638.54 = 147,352.46/x
  3. Step 3: Cross multiply
    262,088.96x = 361,638.54 × 147,352.46
  4. Step 4: Simplify right side
    262,088.96x = 53,288,326,691.62
  5. Step 5: Solve for x
    x = 53,288,326,691.62/262,088.96
  6. Step 6: Final answer
    x = 203,321.53

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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.