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Finding the Fourth Proportional to 131,878.56, 197,895.60 and 48,830.88

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Solution

The fourth proportional to 131,878.56, 197,895.60 and 48,830.88 is: 73,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,878.56 : 197,895.60 = 48,830.88 : x
  2. Step 2: Convert to fraction form
    131,878.56/197,895.60 = 48,830.88/x
  3. Step 3: Cross multiply
    131,878.56x = 197,895.60 × 48,830.88
  4. Step 4: Simplify right side
    131,878.56x = 9,663,416,296.13
  5. Step 5: Solve for x
    x = 9,663,416,296.13/131,878.56
  6. Step 6: Final answer
    x = 73,275.11

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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.