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Finding the Fourth Proportional to 219,987.40, 329,916.30 and 86,823.40

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Solution

The fourth proportional to 219,987.40, 329,916.30 and 86,823.40 is: 130,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,987.40 : 329,916.30 = 86,823.40 : x
  2. Step 2: Convert to fraction form
    219,987.40/329,916.30 = 86,823.40/x
  3. Step 3: Cross multiply
    219,987.40x = 329,916.30 × 86,823.40
  4. Step 4: Simplify right side
    219,987.40x = 28,644,454,881.42
  5. Step 5: Solve for x
    x = 28,644,454,881.42/219,987.40
  6. Step 6: Final answer
    x = 130,209.53

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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.