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Finding the Fourth Proportional to 195,894.90, 293,939.55 and 77,570.10

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Solution

The fourth proportional to 195,894.90, 293,939.55 and 77,570.10 is: 116,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,894.90 : 293,939.55 = 77,570.10 : x
  2. Step 2: Convert to fraction form
    195,894.90/293,939.55 = 77,570.10/x
  3. Step 3: Cross multiply
    195,894.90x = 293,939.55 × 77,570.10
  4. Step 4: Simplify right side
    195,894.90x = 22,800,920,287.46
  5. Step 5: Solve for x
    x = 22,800,920,287.46/195,894.90
  6. Step 6: Final answer
    x = 116,393.64

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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.