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Finding the Fourth Proportional to 101,870.93, 140,575.23 and 56,546.75

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Solution

The fourth proportional to 101,870.93, 140,575.23 and 56,546.75 is: 78,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,870.93 : 140,575.23 = 56,546.75 : x
  2. Step 2: Convert to fraction form
    101,870.93/140,575.23 = 56,546.75/x
  3. Step 3: Cross multiply
    101,870.93x = 140,575.23 × 56,546.75
  4. Step 4: Simplify right side
    101,870.93x = 7,949,071,684.13
  5. Step 5: Solve for x
    x = 7,949,071,684.13/101,870.93
  6. Step 6: Final answer
    x = 78,030.82

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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.