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Finding the Fourth Proportional to 98,211.88, 147,317.82 and 42,769

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Solution

The fourth proportional to 98,211.88, 147,317.82 and 42,769 is: 64,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,211.88 : 147,317.82 = 42,769 : x
  2. Step 2: Convert to fraction form
    98,211.88/147,317.82 = 42,769/x
  3. Step 3: Cross multiply
    98,211.88x = 147,317.82 × 42,769
  4. Step 4: Simplify right side
    98,211.88x = 6,300,635,843.58
  5. Step 5: Solve for x
    x = 6,300,635,843.58/98,211.88
  6. Step 6: Final answer
    x = 64,153.50

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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.