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Finding the Fourth Proportional to 105,388.68, 157,331.76 and 101,697.24

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Solution

The fourth proportional to 105,388.68, 157,331.76 and 101,697.24 is: 151,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,388.68 : 157,331.76 = 101,697.24 : x
  2. Step 2: Convert to fraction form
    105,388.68/157,331.76 = 101,697.24/x
  3. Step 3: Cross multiply
    105,388.68x = 157,331.76 × 101,697.24
  4. Step 4: Simplify right side
    105,388.68x = 16,000,205,756.34
  5. Step 5: Solve for x
    x = 16,000,205,756.34/105,388.68
  6. Step 6: Final answer
    x = 151,820.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.