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Finding the Fourth Proportional to 217,375.83, 299,663.69 and 152,647.92

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Solution

The fourth proportional to 217,375.83, 299,663.69 and 152,647.92 is: 210,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,375.83 : 299,663.69 = 152,647.92 : x
  2. Step 2: Convert to fraction form
    217,375.83/299,663.69 = 152,647.92/x
  3. Step 3: Cross multiply
    217,375.83x = 299,663.69 × 152,647.92
  4. Step 4: Simplify right side
    217,375.83x = 45,743,038,214.79
  5. Step 5: Solve for x
    x = 45,743,038,214.79/217,375.83
  6. Step 6: Final answer
    x = 210,432.95

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1.5x scale

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.