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Finding the Fourth Proportional to 180,506.52, 270,802.98 and 55,847.52

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Solution

The fourth proportional to 180,506.52, 270,802.98 and 55,847.52 is: 83,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,506.52 : 270,802.98 = 55,847.52 : x
  2. Step 2: Convert to fraction form
    180,506.52/270,802.98 = 55,847.52/x
  3. Step 3: Cross multiply
    180,506.52x = 270,802.98 × 55,847.52
  4. Step 4: Simplify right side
    180,506.52x = 15,123,674,841.61
  5. Step 5: Solve for x
    x = 15,123,674,841.61/180,506.52
  6. Step 6: Final answer
    x = 83,784.65

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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.