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Finding the Fourth Proportional to 326,133.40, 489,200.10 and 89,475.70

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Solution

The fourth proportional to 326,133.40, 489,200.10 and 89,475.70 is: 134,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,133.40 : 489,200.10 = 89,475.70 : x
  2. Step 2: Convert to fraction form
    326,133.40/489,200.10 = 89,475.70/x
  3. Step 3: Cross multiply
    326,133.40x = 489,200.10 × 89,475.70
  4. Step 4: Simplify right side
    326,133.40x = 43,771,521,387.57
  5. Step 5: Solve for x
    x = 43,771,521,387.57/326,133.40
  6. Step 6: Final answer
    x = 134,213.55

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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.