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Finding the Fourth Proportional to 219,862.48, 329,767.80 and 98,297.68

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Solution

The fourth proportional to 219,862.48, 329,767.80 and 98,297.68 is: 147,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,862.48 : 329,767.80 = 98,297.68 : x
  2. Step 2: Convert to fraction form
    219,862.48/329,767.80 = 98,297.68/x
  3. Step 3: Cross multiply
    219,862.48x = 329,767.80 × 98,297.68
  4. Step 4: Simplify right side
    219,862.48x = 32,415,409,678.70
  5. Step 5: Solve for x
    x = 32,415,409,678.70/219,862.48
  6. Step 6: Final answer
    x = 147,434.93

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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.