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Finding the Fourth Proportional to 101,755.16, 140,422.54 and 56,437.38

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Solution

The fourth proportional to 101,755.16, 140,422.54 and 56,437.38 is: 77,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.16 : 140,422.54 = 56,437.38 : x
  2. Step 2: Convert to fraction form
    101,755.16/140,422.54 = 56,437.38/x
  3. Step 3: Cross multiply
    101,755.16x = 140,422.54 × 56,437.38
  4. Step 4: Simplify right side
    101,755.16x = 7,925,080,250.55
  5. Step 5: Solve for x
    x = 7,925,080,250.55/101,755.16
  6. Step 6: Final answer
    x = 77,883.82

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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.