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Finding the Fourth Proportional to 260,789.76, 360,069.12 and 176,025.60

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Solution

The fourth proportional to 260,789.76, 360,069.12 and 176,025.60 is: 243,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,789.76 : 360,069.12 = 176,025.60 : x
  2. Step 2: Convert to fraction form
    260,789.76/360,069.12 = 176,025.60/x
  3. Step 3: Cross multiply
    260,789.76x = 360,069.12 × 176,025.60
  4. Step 4: Simplify right side
    260,789.76x = 63,381,382,889.47
  5. Step 5: Solve for x
    x = 63,381,382,889.47/260,789.76
  6. Step 6: Final answer
    x = 243,036.32

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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.