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Finding the Fourth Proportional to 242,493.16, 334,657.38 and 147,003.88

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Solution

The fourth proportional to 242,493.16, 334,657.38 and 147,003.88 is: 202,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,493.16 : 334,657.38 = 147,003.88 : x
  2. Step 2: Convert to fraction form
    242,493.16/334,657.38 = 147,003.88/x
  3. Step 3: Cross multiply
    242,493.16x = 334,657.38 × 147,003.88
  4. Step 4: Simplify right side
    242,493.16x = 49,195,933,330.63
  5. Step 5: Solve for x
    x = 49,195,933,330.63/242,493.16
  6. Step 6: Final answer
    x = 202,875.55

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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.