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Finding the Fourth Proportional to 262,019.64, 361,596.78 and 148,861.56

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Solution

The fourth proportional to 262,019.64, 361,596.78 and 148,861.56 is: 205,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,019.64 : 361,596.78 = 148,861.56 : x
  2. Step 2: Convert to fraction form
    262,019.64/361,596.78 = 148,861.56/x
  3. Step 3: Cross multiply
    262,019.64x = 361,596.78 × 148,861.56
  4. Step 4: Simplify right side
    262,019.64x = 53,827,860,761.78
  5. Step 5: Solve for x
    x = 53,827,860,761.78/262,019.64
  6. Step 6: Final answer
    x = 205,434.45

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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.