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Finding the Fourth Proportional to 219,422.08, 329,132 and 53,210.08

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Solution

The fourth proportional to 219,422.08, 329,132 and 53,210.08 is: 79,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,422.08 : 329,132 = 53,210.08 : x
  2. Step 2: Convert to fraction form
    219,422.08/329,132 = 53,210.08/x
  3. Step 3: Cross multiply
    219,422.08x = 329,132 × 53,210.08
  4. Step 4: Simplify right side
    219,422.08x = 17,513,140,050.56
  5. Step 5: Solve for x
    x = 17,513,140,050.56/219,422.08
  6. Step 6: Final answer
    x = 79,814.85

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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.