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Finding the Fourth Proportional to 131,808.90, 181,895.38 and 71,378.16

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Solution

The fourth proportional to 131,808.90, 181,895.38 and 71,378.16 is: 98,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,808.90 : 181,895.38 = 71,378.16 : x
  2. Step 2: Convert to fraction form
    131,808.90/181,895.38 = 71,378.16/x
  3. Step 3: Cross multiply
    131,808.90x = 181,895.38 × 71,378.16
  4. Step 4: Simplify right side
    131,808.90x = 12,983,357,536.90
  5. Step 5: Solve for x
    x = 12,983,357,536.90/131,808.90
  6. Step 6: Final answer
    x = 98,501.37

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Why These Related Problems?

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