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Finding the Fourth Proportional to 195,509.60, 293,145.60 and 77,044.40

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Solution

The fourth proportional to 195,509.60, 293,145.60 and 77,044.40 is: 115,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,509.60 : 293,145.60 = 77,044.40 : x
  2. Step 2: Convert to fraction form
    195,509.60/293,145.60 = 77,044.40/x
  3. Step 3: Cross multiply
    195,509.60x = 293,145.60 × 77,044.40
  4. Step 4: Simplify right side
    195,509.60x = 22,585,226,864.64
  5. Step 5: Solve for x
    x = 22,585,226,864.64/195,509.60
  6. Step 6: Final answer
    x = 115,519.78

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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.