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Finding the Fourth Proportional to 131,216, 181,078.72 and 71,600

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Solution

The fourth proportional to 131,216, 181,078.72 and 71,600 is: 98,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,216 : 181,078.72 = 71,600 : x
  2. Step 2: Convert to fraction form
    131,216/181,078.72 = 71,600/x
  3. Step 3: Cross multiply
    131,216x = 181,078.72 × 71,600
  4. Step 4: Simplify right side
    131,216x = 12,965,236,352
  5. Step 5: Solve for x
    x = 12,965,236,352/131,216
  6. Step 6: Final answer
    x = 98,808.35

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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.