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Finding the Fourth Proportional to 174,451.11, 240,713.74 and 102,844.98

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Solution

The fourth proportional to 174,451.11, 240,713.74 and 102,844.98 is: 141,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,451.11 : 240,713.74 = 102,844.98 : x
  2. Step 2: Convert to fraction form
    174,451.11/240,713.74 = 102,844.98/x
  3. Step 3: Cross multiply
    174,451.11x = 240,713.74 × 102,844.98
  4. Step 4: Simplify right side
    174,451.11x = 24,756,199,261.80
  5. Step 5: Solve for x
    x = 24,756,199,261.80/174,451.11
  6. Step 6: Final answer
    x = 141,909.10

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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.