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Finding the Fourth Proportional to 253,403.14, 380,214.95 and 158,850.02

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Solution

The fourth proportional to 253,403.14, 380,214.95 and 158,850.02 is: 238,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,403.14 : 380,214.95 = 158,850.02 : x
  2. Step 2: Convert to fraction form
    253,403.14/380,214.95 = 158,850.02/x
  3. Step 3: Cross multiply
    253,403.14x = 380,214.95 × 158,850.02
  4. Step 4: Simplify right side
    253,403.14x = 60,397,152,411.80
  5. Step 5: Solve for x
    x = 60,397,152,411.80/253,403.14
  6. Step 6: Final answer
    x = 238,344.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.