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Finding the Fourth Proportional to 136,470.00, 204,724.14 and 47,703.32

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Solution

The fourth proportional to 136,470.00, 204,724.14 and 47,703.32 is: 71,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,470.00 : 204,724.14 = 47,703.32 : x
  2. Step 2: Convert to fraction form
    136,470.00/204,724.14 = 47,703.32/x
  3. Step 3: Cross multiply
    136,470.00x = 204,724.14 × 47,703.32
  4. Step 4: Simplify right side
    136,470.00x = 9,766,020,727.35
  5. Step 5: Solve for x
    x = 9,766,020,727.35/136,470.00
  6. Step 6: Final answer
    x = 71,561.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.