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Finding the Fourth Proportional to 98,218.26, 147,327.66 and 31,663.26

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Solution

The fourth proportional to 98,218.26, 147,327.66 and 31,663.26 is: 47,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.26 : 147,327.66 = 31,663.26 : x
  2. Step 2: Convert to fraction form
    98,218.26/147,327.66 = 31,663.26/x
  3. Step 3: Cross multiply
    98,218.26x = 147,327.66 × 31,663.26
  4. Step 4: Simplify right side
    98,218.26x = 4,664,874,003.77
  5. Step 5: Solve for x
    x = 4,664,874,003.77/98,218.26
  6. Step 6: Final answer
    x = 47,494.98

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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.