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Finding the Fourth Proportional to 253,454.41, 349,743.38 and 151,459.62

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Solution

The fourth proportional to 253,454.41, 349,743.38 and 151,459.62 is: 209,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,454.41 : 349,743.38 = 151,459.62 : x
  2. Step 2: Convert to fraction form
    253,454.41/349,743.38 = 151,459.62/x
  3. Step 3: Cross multiply
    253,454.41x = 349,743.38 × 151,459.62
  4. Step 4: Simplify right side
    253,454.41x = 52,971,999,432.32
  5. Step 5: Solve for x
    x = 52,971,999,432.32/253,454.41
  6. Step 6: Final answer
    x = 209,000.11

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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.