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Finding the Fourth Proportional to 126,742.38, 174,904.64 and 78,995.68

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Solution

The fourth proportional to 126,742.38, 174,904.64 and 78,995.68 is: 109,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,742.38 : 174,904.64 = 78,995.68 : x
  2. Step 2: Convert to fraction form
    126,742.38/174,904.64 = 78,995.68/x
  3. Step 3: Cross multiply
    126,742.38x = 174,904.64 × 78,995.68
  4. Step 4: Simplify right side
    126,742.38x = 13,816,710,971.96
  5. Step 5: Solve for x
    x = 13,816,710,971.96/126,742.38
  6. Step 6: Final answer
    x = 109,014.14

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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.