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Finding the Fourth Proportional to 219,098.80, 328,623.90 and 61,343.20

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Solution

The fourth proportional to 219,098.80, 328,623.90 and 61,343.20 is: 92,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,098.80 : 328,623.90 = 61,343.20 : x
  2. Step 2: Convert to fraction form
    219,098.80/328,623.90 = 61,343.20/x
  3. Step 3: Cross multiply
    219,098.80x = 328,623.90 × 61,343.20
  4. Step 4: Simplify right side
    219,098.80x = 20,158,841,622.48
  5. Step 5: Solve for x
    x = 20,158,841,622.48/219,098.80
  6. Step 6: Final answer
    x = 92,008.00

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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.