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Finding the Fourth Proportional to 219,643.80, 329,506.92 and 99,709.16

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Solution

The fourth proportional to 219,643.80, 329,506.92 and 99,709.16 is: 149,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,643.80 : 329,506.92 = 99,709.16 : x
  2. Step 2: Convert to fraction form
    219,643.80/329,506.92 = 99,709.16/x
  3. Step 3: Cross multiply
    219,643.80x = 329,506.92 × 99,709.16
  4. Step 4: Simplify right side
    219,643.80x = 32,854,858,207.39
  5. Step 5: Solve for x
    x = 32,854,858,207.39/219,643.80
  6. Step 6: Final answer
    x = 149,582.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.