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Finding the Fourth Proportional to 242,730.56, 334,871.84 and 147,202.40

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Solution

The fourth proportional to 242,730.56, 334,871.84 and 147,202.40 is: 203,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,730.56 : 334,871.84 = 147,202.40 : x
  2. Step 2: Convert to fraction form
    242,730.56/334,871.84 = 147,202.40/x
  3. Step 3: Cross multiply
    242,730.56x = 334,871.84 × 147,202.40
  4. Step 4: Simplify right side
    242,730.56x = 49,293,938,540.42
  5. Step 5: Solve for x
    x = 49,293,938,540.42/242,730.56
  6. Step 6: Final answer
    x = 203,080.89

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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.