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Finding the Fourth Proportional to 153,716.53, 230,581.86 and 47,092.84

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Solution

The fourth proportional to 153,716.53, 230,581.86 and 47,092.84 is: 70,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,716.53 : 230,581.86 = 47,092.84 : x
  2. Step 2: Convert to fraction form
    153,716.53/230,581.86 = 47,092.84/x
  3. Step 3: Cross multiply
    153,716.53x = 230,581.86 × 47,092.84
  4. Step 4: Simplify right side
    153,716.53x = 10,858,754,639.88
  5. Step 5: Solve for x
    x = 10,858,754,639.88/153,716.53
  6. Step 6: Final answer
    x = 70,641.42

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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.