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Finding the Fourth Proportional to 110,543.64, 152,574.78 and 70,249.50

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Solution

The fourth proportional to 110,543.64, 152,574.78 and 70,249.50 is: 96,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,543.64 : 152,574.78 = 70,249.50 : x
  2. Step 2: Convert to fraction form
    110,543.64/152,574.78 = 70,249.50/x
  3. Step 3: Cross multiply
    110,543.64x = 152,574.78 × 70,249.50
  4. Step 4: Simplify right side
    110,543.64x = 10,718,302,007.61
  5. Step 5: Solve for x
    x = 10,718,302,007.61/110,543.64
  6. Step 6: Final answer
    x = 96,959.92

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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.