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Finding the Fourth Proportional to 148,595.75, 205,065.75 and 81,527.75

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Solution

The fourth proportional to 148,595.75, 205,065.75 and 81,527.75 is: 112,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,595.75 : 205,065.75 = 81,527.75 : x
  2. Step 2: Convert to fraction form
    148,595.75/205,065.75 = 81,527.75/x
  3. Step 3: Cross multiply
    148,595.75x = 205,065.75 × 81,527.75
  4. Step 4: Simplify right side
    148,595.75x = 16,718,549,199.56
  5. Step 5: Solve for x
    x = 16,718,549,199.56/148,595.75
  6. Step 6: Final answer
    x = 112,510.28

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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.