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Finding the Fourth Proportional to 180,211.83, 270,428.92 and 91,528.98

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Solution

The fourth proportional to 180,211.83, 270,428.92 and 91,528.98 is: 137,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,211.83 : 270,428.92 = 91,528.98 : x
  2. Step 2: Convert to fraction form
    180,211.83/270,428.92 = 91,528.98/x
  3. Step 3: Cross multiply
    180,211.83x = 270,428.92 × 91,528.98
  4. Step 4: Simplify right side
    180,211.83x = 24,752,082,981.28
  5. Step 5: Solve for x
    x = 24,752,082,981.28/180,211.83
  6. Step 6: Final answer
    x = 137,349.93

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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.