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Finding the Fourth Proportional to 130,645.54, 180,323.50 and 80,315.38

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Solution

The fourth proportional to 130,645.54, 180,323.50 and 80,315.38 is: 110,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,645.54 : 180,323.50 = 80,315.38 : x
  2. Step 2: Convert to fraction form
    130,645.54/180,323.50 = 80,315.38/x
  3. Step 3: Cross multiply
    130,645.54x = 180,323.50 × 80,315.38
  4. Step 4: Simplify right side
    130,645.54x = 14,482,749,323.02
  5. Step 5: Solve for x
    x = 14,482,749,323.02/130,645.54
  6. Step 6: Final answer
    x = 110,855.30

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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.