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Finding the Fourth Proportional to 310,098.24, 465,147.84 and 88,482.24

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Solution

The fourth proportional to 310,098.24, 465,147.84 and 88,482.24 is: 132,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098.24 : 465,147.84 = 88,482.24 : x
  2. Step 2: Convert to fraction form
    310,098.24/465,147.84 = 88,482.24/x
  3. Step 3: Cross multiply
    310,098.24x = 465,147.84 × 88,482.24
  4. Step 4: Simplify right side
    310,098.24x = 41,157,322,814.36
  5. Step 5: Solve for x
    x = 41,157,322,814.36/310,098.24
  6. Step 6: Final answer
    x = 132,723.50

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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.