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Finding the Fourth Proportional to 101,806.41, 140,509.71 and 56,498.95

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Solution

The fourth proportional to 101,806.41, 140,509.71 and 56,498.95 is: 77,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806.41 : 140,509.71 = 56,498.95 : x
  2. Step 2: Convert to fraction form
    101,806.41/140,509.71 = 56,498.95/x
  3. Step 3: Cross multiply
    101,806.41x = 140,509.71 × 56,498.95
  4. Step 4: Simplify right side
    101,806.41x = 7,938,650,377.26
  5. Step 5: Solve for x
    x = 7,938,650,377.26/101,806.41
  6. Step 6: Final answer
    x = 77,977.90

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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.