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Finding the Fourth Proportional to 219,319.80, 328,461.30 and 148,817.40

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Solution

The fourth proportional to 219,319.80, 328,461.30 and 148,817.40 is: 222,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319.80 : 328,461.30 = 148,817.40 : x
  2. Step 2: Convert to fraction form
    219,319.80/328,461.30 = 148,817.40/x
  3. Step 3: Cross multiply
    219,319.80x = 328,461.30 × 148,817.40
  4. Step 4: Simplify right side
    219,319.80x = 48,880,756,666.62
  5. Step 5: Solve for x
    x = 48,880,756,666.62/219,319.80
  6. Step 6: Final answer
    x = 222,874.34

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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.