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Finding the Fourth Proportional to 195,670.65, 293,543.64 and 83,348.76

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Solution

The fourth proportional to 195,670.65, 293,543.64 and 83,348.76 is: 125,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,670.65 : 293,543.64 = 83,348.76 : x
  2. Step 2: Convert to fraction form
    195,670.65/293,543.64 = 83,348.76/x
  3. Step 3: Cross multiply
    195,670.65x = 293,543.64 × 83,348.76
  4. Step 4: Simplify right side
    195,670.65x = 24,466,498,399.89
  5. Step 5: Solve for x
    x = 24,466,498,399.89/195,670.65
  6. Step 6: Final answer
    x = 125,039.18

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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.