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Finding the Fourth Proportional to 219,503.22, 329,254.71 and 61,731.65

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Solution

The fourth proportional to 219,503.22, 329,254.71 and 61,731.65 is: 92,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,503.22 : 329,254.71 = 61,731.65 : x
  2. Step 2: Convert to fraction form
    219,503.22/329,254.71 = 61,731.65/x
  3. Step 3: Cross multiply
    219,503.22x = 329,254.71 × 61,731.65
  4. Step 4: Simplify right side
    219,503.22x = 20,325,437,110.21
  5. Step 5: Solve for x
    x = 20,325,437,110.21/219,503.22
  6. Step 6: Final answer
    x = 92,597.45

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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.