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Finding the Fourth Proportional to 137,444.96, 207,103.64 and 113,031.74

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Solution

The fourth proportional to 137,444.96, 207,103.64 and 113,031.74 is: 170,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,444.96 : 207,103.64 = 113,031.74 : x
  2. Step 2: Convert to fraction form
    137,444.96/207,103.64 = 113,031.74/x
  3. Step 3: Cross multiply
    137,444.96x = 207,103.64 × 113,031.74
  4. Step 4: Simplify right side
    137,444.96x = 23,409,284,789.53
  5. Step 5: Solve for x
    x = 23,409,284,789.53/137,444.96
  6. Step 6: Final answer
    x = 170,317.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.