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Finding the Fourth Proportional to 137,283.54, 189,561.51 and 110,339.70

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Solution

The fourth proportional to 137,283.54, 189,561.51 and 110,339.70 is: 152,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,283.54 : 189,561.51 = 110,339.70 : x
  2. Step 2: Convert to fraction form
    137,283.54/189,561.51 = 110,339.70/x
  3. Step 3: Cross multiply
    137,283.54x = 189,561.51 × 110,339.70
  4. Step 4: Simplify right side
    137,283.54x = 20,916,160,144.95
  5. Step 5: Solve for x
    x = 20,916,160,144.95/137,283.54
  6. Step 6: Final answer
    x = 152,357.38

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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.