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Finding the Fourth Proportional to 101,589.52, 140,189.38 and 56,264.80

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Solution

The fourth proportional to 101,589.52, 140,189.38 and 56,264.80 is: 77,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,589.52 : 140,189.38 = 56,264.80 : x
  2. Step 2: Convert to fraction form
    101,589.52/140,189.38 = 56,264.80/x
  3. Step 3: Cross multiply
    101,589.52x = 140,189.38 × 56,264.80
  4. Step 4: Simplify right side
    101,589.52x = 7,887,727,427.82
  5. Step 5: Solve for x
    x = 7,887,727,427.82/101,589.52
  6. Step 6: Final answer
    x = 77,643.12

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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.