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Finding the Fourth Proportional to 74,188.16, 102,323.15 and 63,857.49

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Solution

The fourth proportional to 74,188.16, 102,323.15 and 63,857.49 is: 88,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,188.16 : 102,323.15 = 63,857.49 : x
  2. Step 2: Convert to fraction form
    74,188.16/102,323.15 = 63,857.49/x
  3. Step 3: Cross multiply
    74,188.16x = 102,323.15 × 63,857.49
  4. Step 4: Simplify right side
    74,188.16x = 6,534,099,624.06
  5. Step 5: Solve for x
    x = 6,534,099,624.06/74,188.16
  6. Step 6: Final answer
    x = 88,074.70

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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.