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Finding the Fourth Proportional to 169,708.32, 234,314.64 and 106,074.72

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Solution

The fourth proportional to 169,708.32, 234,314.64 and 106,074.72 is: 146,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,708.32 : 234,314.64 = 106,074.72 : x
  2. Step 2: Convert to fraction form
    169,708.32/234,314.64 = 106,074.72/x
  3. Step 3: Cross multiply
    169,708.32x = 234,314.64 × 106,074.72
  4. Step 4: Simplify right side
    169,708.32x = 24,854,859,829.90
  5. Step 5: Solve for x
    x = 24,854,859,829.90/169,708.32
  6. Step 6: Final answer
    x = 146,456.34

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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.