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Finding the Fourth Proportional to 219,022.80, 328,509.90 and 61,267.20

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Solution

The fourth proportional to 219,022.80, 328,509.90 and 61,267.20 is: 91,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,022.80 : 328,509.90 = 61,267.20 : x
  2. Step 2: Convert to fraction form
    219,022.80/328,509.90 = 61,267.20/x
  3. Step 3: Cross multiply
    219,022.80x = 328,509.90 × 61,267.20
  4. Step 4: Simplify right side
    219,022.80x = 20,126,881,745.28
  5. Step 5: Solve for x
    x = 20,126,881,745.28/219,022.80
  6. Step 6: Final answer
    x = 91,894.00

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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.