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Finding the Fourth Proportional to 180,901.65, 271,365.43 and 47,780.58

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Solution

The fourth proportional to 180,901.65, 271,365.43 and 47,780.58 is: 71,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,901.65 : 271,365.43 = 47,780.58 : x
  2. Step 2: Convert to fraction form
    180,901.65/271,365.43 = 47,780.58/x
  3. Step 3: Cross multiply
    180,901.65x = 271,365.43 × 47,780.58
  4. Step 4: Simplify right side
    180,901.65x = 12,965,997,637.35
  5. Step 5: Solve for x
    x = 12,965,997,637.35/180,901.65
  6. Step 6: Final answer
    x = 71,674.29

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1.5x scale

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.