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Finding the Fourth Proportional to 147,259, 220,888.50 and 36,451

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Solution

The fourth proportional to 147,259, 220,888.50 and 36,451 is: 54,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,259 : 220,888.50 = 36,451 : x
  2. Step 2: Convert to fraction form
    147,259/220,888.50 = 36,451/x
  3. Step 3: Cross multiply
    147,259x = 220,888.50 × 36,451
  4. Step 4: Simplify right side
    147,259x = 8,051,606,713.50
  5. Step 5: Solve for x
    x = 8,051,606,713.50/147,259
  6. Step 6: Final answer
    x = 54,676.50

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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.