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Finding the Fourth Proportional to 117,007.65, 175,511.48 and 83,655.90

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Solution

The fourth proportional to 117,007.65, 175,511.48 and 83,655.90 is: 125,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.65 : 175,511.48 = 83,655.90 : x
  2. Step 2: Convert to fraction form
    117,007.65/175,511.48 = 83,655.90/x
  3. Step 3: Cross multiply
    117,007.65x = 175,511.48 × 83,655.90
  4. Step 4: Simplify right side
    117,007.65x = 14,682,570,401.45
  5. Step 5: Solve for x
    x = 14,682,570,401.45/117,007.65
  6. Step 6: Final answer
    x = 125,483.85

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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.