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Finding the Fourth Proportional to 213,082.60, 319,623.90 and 146,727.40

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Solution

The fourth proportional to 213,082.60, 319,623.90 and 146,727.40 is: 220,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,082.60 : 319,623.90 = 146,727.40 : x
  2. Step 2: Convert to fraction form
    213,082.60/319,623.90 = 146,727.40/x
  3. Step 3: Cross multiply
    213,082.60x = 319,623.90 × 146,727.40
  4. Step 4: Simplify right side
    213,082.60x = 46,897,583,824.86
  5. Step 5: Solve for x
    x = 46,897,583,824.86/213,082.60
  6. Step 6: Final answer
    x = 220,091.10

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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.