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Finding the Fourth Proportional to 105,266.68, 157,900.70 and 42,092.11

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Solution

The fourth proportional to 105,266.68, 157,900.70 and 42,092.11 is: 63,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.68 : 157,900.70 = 42,092.11 : x
  2. Step 2: Convert to fraction form
    105,266.68/157,900.70 = 42,092.11/x
  3. Step 3: Cross multiply
    105,266.68x = 157,900.70 × 42,092.11
  4. Step 4: Simplify right side
    105,266.68x = 6,646,373,633.48
  5. Step 5: Solve for x
    x = 6,646,373,633.48/105,266.68
  6. Step 6: Final answer
    x = 63,138.44

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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.