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Finding the Fourth Proportional to 174,409.68, 240,731.38 and 102,837.38

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Solution

The fourth proportional to 174,409.68, 240,731.38 and 102,837.38 is: 141,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,409.68 : 240,731.38 = 102,837.38 : x
  2. Step 2: Convert to fraction form
    174,409.68/240,731.38 = 102,837.38/x
  3. Step 3: Cross multiply
    174,409.68x = 240,731.38 × 102,837.38
  4. Step 4: Simplify right side
    174,409.68x = 24,756,184,402.98
  5. Step 5: Solve for x
    x = 24,756,184,402.98/174,409.68
  6. Step 6: Final answer
    x = 141,942.72

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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.