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Finding the Fourth Proportional to 117,097.54, 175,655.19 and 45,985.87

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Solution

The fourth proportional to 117,097.54, 175,655.19 and 45,985.87 is: 68,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,097.54 : 175,655.19 = 45,985.87 : x
  2. Step 2: Convert to fraction form
    117,097.54/175,655.19 = 45,985.87/x
  3. Step 3: Cross multiply
    117,097.54x = 175,655.19 × 45,985.87
  4. Step 4: Simplify right side
    117,097.54x = 8,077,655,853.89
  5. Step 5: Solve for x
    x = 8,077,655,853.89/117,097.54
  6. Step 6: Final answer
    x = 68,982.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.