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Finding the Fourth Proportional to 179,259, 268,888.50 and 54,600

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Solution

The fourth proportional to 179,259, 268,888.50 and 54,600 is: 81,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,259 : 268,888.50 = 54,600 : x
  2. Step 2: Convert to fraction form
    179,259/268,888.50 = 54,600/x
  3. Step 3: Cross multiply
    179,259x = 268,888.50 × 54,600
  4. Step 4: Simplify right side
    179,259x = 14,681,312,100
  5. Step 5: Solve for x
    x = 14,681,312,100/179,259
  6. Step 6: Final answer
    x = 81,900

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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.