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Finding the Fourth Proportional to 201,451.76, 302,041.32 and 112,766.48

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Solution

The fourth proportional to 201,451.76, 302,041.32 and 112,766.48 is: 169,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,451.76 : 302,041.32 = 112,766.48 : x
  2. Step 2: Convert to fraction form
    201,451.76/302,041.32 = 112,766.48/x
  3. Step 3: Cross multiply
    201,451.76x = 302,041.32 × 112,766.48
  4. Step 4: Simplify right side
    201,451.76x = 34,060,136,470.95
  5. Step 5: Solve for x
    x = 34,060,136,470.95/201,451.76
  6. Step 6: Final answer
    x = 169,073.41

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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.