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Finding the Fourth Proportional to 218,298.29, 327,447.51 and 98,214.98

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Solution

The fourth proportional to 218,298.29, 327,447.51 and 98,214.98 is: 147,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,298.29 : 327,447.51 = 98,214.98 : x
  2. Step 2: Convert to fraction form
    218,298.29/327,447.51 = 98,214.98/x
  3. Step 3: Cross multiply
    218,298.29x = 327,447.51 × 98,214.98
  4. Step 4: Simplify right side
    218,298.29x = 32,160,251,034.51
  5. Step 5: Solve for x
    x = 32,160,251,034.51/218,298.29
  6. Step 6: Final answer
    x = 147,322.51

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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.