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Finding the Fourth Proportional to 101,914.95, 140,637.94 and 56,595.83

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Solution

The fourth proportional to 101,914.95, 140,637.94 and 56,595.83 is: 78,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,914.95 : 140,637.94 = 56,595.83 : x
  2. Step 2: Convert to fraction form
    101,914.95/140,637.94 = 56,595.83/x
  3. Step 3: Cross multiply
    101,914.95x = 140,637.94 × 56,595.83
  4. Step 4: Simplify right side
    101,914.95x = 7,959,521,153.90
  5. Step 5: Solve for x
    x = 7,959,521,153.90/101,914.95
  6. Step 6: Final answer
    x = 78,099.64

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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.