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Finding the Fourth Proportional to 101,602.06, 140,204.67 and 56,277.40

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Solution

The fourth proportional to 101,602.06, 140,204.67 and 56,277.40 is: 77,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.06 : 140,204.67 = 56,277.40 : x
  2. Step 2: Convert to fraction form
    101,602.06/140,204.67 = 56,277.40/x
  3. Step 3: Cross multiply
    101,602.06x = 140,204.67 × 56,277.40
  4. Step 4: Simplify right side
    101,602.06x = 7,890,354,295.46
  5. Step 5: Solve for x
    x = 7,890,354,295.46/101,602.06
  6. Step 6: Final answer
    x = 77,659.39

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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.