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Finding the Fourth Proportional to 127,697.94, 191,559.96 and 48,878.46

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Solution

The fourth proportional to 127,697.94, 191,559.96 and 48,878.46 is: 73,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,697.94 : 191,559.96 = 48,878.46 : x
  2. Step 2: Convert to fraction form
    127,697.94/191,559.96 = 48,878.46/x
  3. Step 3: Cross multiply
    127,697.94x = 191,559.96 × 48,878.46
  4. Step 4: Simplify right side
    127,697.94x = 9,363,155,842.46
  5. Step 5: Solve for x
    x = 9,363,155,842.46/127,697.94
  6. Step 6: Final answer
    x = 73,322.69

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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.