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Finding the Fourth Proportional to 357,081.75, 535,340.81 and 177,043.05

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Solution

The fourth proportional to 357,081.75, 535,340.81 and 177,043.05 is: 265,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,081.75 : 535,340.81 = 177,043.05 : x
  2. Step 2: Convert to fraction form
    357,081.75/535,340.81 = 177,043.05/x
  3. Step 3: Cross multiply
    357,081.75x = 535,340.81 × 177,043.05
  4. Step 4: Simplify right side
    357,081.75x = 94,778,366,229.95
  5. Step 5: Solve for x
    x = 94,778,366,229.95/357,081.75
  6. Step 6: Final answer
    x = 265,424.84

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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.