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Finding the Fourth Proportional to 138,952.58, 191,756.77 and 77,705.65

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Solution

The fourth proportional to 138,952.58, 191,756.77 and 77,705.65 is: 107,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952.58 : 191,756.77 = 77,705.65 : x
  2. Step 2: Convert to fraction form
    138,952.58/191,756.77 = 77,705.65/x
  3. Step 3: Cross multiply
    138,952.58x = 191,756.77 × 77,705.65
  4. Step 4: Simplify right side
    138,952.58x = 14,900,583,495.97
  5. Step 5: Solve for x
    x = 14,900,583,495.97/138,952.58
  6. Step 6: Final answer
    x = 107,235.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.