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Finding the Fourth Proportional to 150,738.48, 208,005.12 and 90,308.16

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Solution

The fourth proportional to 150,738.48, 208,005.12 and 90,308.16 is: 124,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,738.48 : 208,005.12 = 90,308.16 : x
  2. Step 2: Convert to fraction form
    150,738.48/208,005.12 = 90,308.16/x
  3. Step 3: Cross multiply
    150,738.48x = 208,005.12 × 90,308.16
  4. Step 4: Simplify right side
    150,738.48x = 18,784,559,657.78
  5. Step 5: Solve for x
    x = 18,784,559,657.78/150,738.48
  6. Step 6: Final answer
    x = 124,616.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.