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Finding the Fourth Proportional to 219,411.86, 329,129.07 and 61,652.61

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Solution

The fourth proportional to 219,411.86, 329,129.07 and 61,652.61 is: 92,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411.86 : 329,129.07 = 61,652.61 : x
  2. Step 2: Convert to fraction form
    219,411.86/329,129.07 = 61,652.61/x
  3. Step 3: Cross multiply
    219,411.86x = 329,129.07 × 61,652.61
  4. Step 4: Simplify right side
    219,411.86x = 20,291,665,884.11
  5. Step 5: Solve for x
    x = 20,291,665,884.11/219,411.86
  6. Step 6: Final answer
    x = 92,482.09

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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.