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Finding the Fourth Proportional to 253,740.74, 380,617.28 and 85,263.50

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Solution

The fourth proportional to 253,740.74, 380,617.28 and 85,263.50 is: 127,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,740.74 : 380,617.28 = 85,263.50 : x
  2. Step 2: Convert to fraction form
    253,740.74/380,617.28 = 85,263.50/x
  3. Step 3: Cross multiply
    253,740.74x = 380,617.28 × 85,263.50
  4. Step 4: Simplify right side
    253,740.74x = 32,452,762,298.24
  5. Step 5: Solve for x
    x = 32,452,762,298.24/253,740.74
  6. Step 6: Final answer
    x = 127,897.33

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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.