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Finding the Fourth Proportional to 219,215.90, 328,823.85 and 160,166.90

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Solution

The fourth proportional to 219,215.90, 328,823.85 and 160,166.90 is: 240,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,215.90 : 328,823.85 = 160,166.90 : x
  2. Step 2: Convert to fraction form
    219,215.90/328,823.85 = 160,166.90/x
  3. Step 3: Cross multiply
    219,215.90x = 328,823.85 × 160,166.90
  4. Step 4: Simplify right side
    219,215.90x = 52,666,696,700.57
  5. Step 5: Solve for x
    x = 52,666,696,700.57/219,215.90
  6. Step 6: Final answer
    x = 240,250.35

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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.