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Finding the Fourth Proportional to 131,416, 181,354.05 and 70,986.65

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Solution

The fourth proportional to 131,416, 181,354.05 and 70,986.65 is: 97,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,416 : 181,354.05 = 70,986.65 : x
  2. Step 2: Convert to fraction form
    131,416/181,354.05 = 70,986.65/x
  3. Step 3: Cross multiply
    131,416x = 181,354.05 × 70,986.65
  4. Step 4: Simplify right side
    131,416x = 12,873,715,566.66
  5. Step 5: Solve for x
    x = 12,873,715,566.66/131,416
  6. Step 6: Final answer
    x = 97,961.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.