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Finding the Fourth Proportional to 242,473.65, 334,614.04 and 140,518.75

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Solution

The fourth proportional to 242,473.65, 334,614.04 and 140,518.75 is: 193,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,473.65 : 334,614.04 = 140,518.75 : x
  2. Step 2: Convert to fraction form
    242,473.65/334,614.04 = 140,518.75/x
  3. Step 3: Cross multiply
    242,473.65x = 334,614.04 × 140,518.75
  4. Step 4: Simplify right side
    242,473.65x = 47,019,546,072.82
  5. Step 5: Solve for x
    x = 47,019,546,072.82/242,473.65
  6. Step 6: Final answer
    x = 193,916.10

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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.