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Finding the Fourth Proportional to 219,218.10, 328,827.15 and 152,862.90

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Solution

The fourth proportional to 219,218.10, 328,827.15 and 152,862.90 is: 229,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,218.10 : 328,827.15 = 152,862.90 : x
  2. Step 2: Convert to fraction form
    219,218.10/328,827.15 = 152,862.90/x
  3. Step 3: Cross multiply
    219,218.10x = 328,827.15 × 152,862.90
  4. Step 4: Simplify right side
    219,218.10x = 50,265,471,747.74
  5. Step 5: Solve for x
    x = 50,265,471,747.74/219,218.10
  6. Step 6: Final answer
    x = 229,294.35

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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.