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Finding the Fourth Proportional to 262,113.56, 361,719.24 and 148,937.12

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Solution

The fourth proportional to 262,113.56, 361,719.24 and 148,937.12 is: 205,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,113.56 : 361,719.24 = 148,937.12 : x
  2. Step 2: Convert to fraction form
    262,113.56/361,719.24 = 148,937.12/x
  3. Step 3: Cross multiply
    262,113.56x = 361,719.24 × 148,937.12
  4. Step 4: Simplify right side
    262,113.56x = 53,873,421,854.19
  5. Step 5: Solve for x
    x = 53,873,421,854.19/262,113.56
  6. Step 6: Final answer
    x = 205,534.66

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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.