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Finding the Fourth Proportional to 179,875.86, 269,766.81 and 53,482.07

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Solution

The fourth proportional to 179,875.86, 269,766.81 and 53,482.07 is: 80,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,875.86 : 269,766.81 = 53,482.07 : x
  2. Step 2: Convert to fraction form
    179,875.86/269,766.81 = 53,482.07/x
  3. Step 3: Cross multiply
    179,875.86x = 269,766.81 × 53,482.07
  4. Step 4: Simplify right side
    179,875.86x = 14,427,687,416.10
  5. Step 5: Solve for x
    x = 14,427,687,416.10/179,875.86
  6. Step 6: Final answer
    x = 80,209.14

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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.