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Finding the Fourth Proportional to 86,266.40, 129,322.80 and 76,935.20

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Solution

The fourth proportional to 86,266.40, 129,322.80 and 76,935.20 is: 115,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266.40 : 129,322.80 = 76,935.20 : x
  2. Step 2: Convert to fraction form
    86,266.40/129,322.80 = 76,935.20/x
  3. Step 3: Cross multiply
    86,266.40x = 129,322.80 × 76,935.20
  4. Step 4: Simplify right side
    86,266.40x = 9,949,475,482.56
  5. Step 5: Solve for x
    x = 9,949,475,482.56/86,266.40
  6. Step 6: Final answer
    x = 115,334.31

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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.