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Finding the Fourth Proportional to 170,151.41, 255,264.06 and 51,819.64

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Solution

The fourth proportional to 170,151.41, 255,264.06 and 51,819.64 is: 77,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,151.41 : 255,264.06 = 51,819.64 : x
  2. Step 2: Convert to fraction form
    170,151.41/255,264.06 = 51,819.64/x
  3. Step 3: Cross multiply
    170,151.41x = 255,264.06 × 51,819.64
  4. Step 4: Simplify right side
    170,151.41x = 13,227,690,417.82
  5. Step 5: Solve for x
    x = 13,227,690,417.82/170,151.41
  6. Step 6: Final answer
    x = 77,740.70

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1.5x scale

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.