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Finding the Fourth Proportional to 195,089.69, 292,657.96 and 68,703.80

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Solution

The fourth proportional to 195,089.69, 292,657.96 and 68,703.80 is: 103,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,089.69 : 292,657.96 = 68,703.80 : x
  2. Step 2: Convert to fraction form
    195,089.69/292,657.96 = 68,703.80/x
  3. Step 3: Cross multiply
    195,089.69x = 292,657.96 × 68,703.80
  4. Step 4: Simplify right side
    195,089.69x = 20,106,712,574.84
  5. Step 5: Solve for x
    x = 20,106,712,574.84/195,089.69
  6. Step 6: Final answer
    x = 103,063.94

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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.