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Finding the Fourth Proportional to 177,041.40, 265,713.30 and 71,935.80

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Solution

The fourth proportional to 177,041.40, 265,713.30 and 71,935.80 is: 107,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,041.40 : 265,713.30 = 71,935.80 : x
  2. Step 2: Convert to fraction form
    177,041.40/265,713.30 = 71,935.80/x
  3. Step 3: Cross multiply
    177,041.40x = 265,713.30 × 71,935.80
  4. Step 4: Simplify right side
    177,041.40x = 19,114,298,806.14
  5. Step 5: Solve for x
    x = 19,114,298,806.14/177,041.40
  6. Step 6: Final answer
    x = 107,965.14

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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.