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Finding the Fourth Proportional to 195,527.44, 293,218.20 and 77,159.44

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Solution

The fourth proportional to 195,527.44, 293,218.20 and 77,159.44 is: 115,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,527.44 : 293,218.20 = 77,159.44 : x
  2. Step 2: Convert to fraction form
    195,527.44/293,218.20 = 77,159.44/x
  3. Step 3: Cross multiply
    195,527.44x = 293,218.20 × 77,159.44
  4. Step 4: Simplify right side
    195,527.44x = 22,624,552,109.81
  5. Step 5: Solve for x
    x = 22,624,552,109.81/195,527.44
  6. Step 6: Final answer
    x = 115,710.37

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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.