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Finding the Fourth Proportional to 268,546.64, 370,595.71 and 147,695.66

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Solution

The fourth proportional to 268,546.64, 370,595.71 and 147,695.66 is: 203,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,546.64 : 370,595.71 = 147,695.66 : x
  2. Step 2: Convert to fraction form
    268,546.64/370,595.71 = 147,695.66/x
  3. Step 3: Cross multiply
    268,546.64x = 370,595.71 × 147,695.66
  4. Step 4: Simplify right side
    268,546.64x = 54,735,375,390.16
  5. Step 5: Solve for x
    x = 54,735,375,390.16/268,546.64
  6. Step 6: Final answer
    x = 203,820.74

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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.