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Finding the Fourth Proportional to 159,082.86, 238,624.35 and 46,763.08

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Solution

The fourth proportional to 159,082.86, 238,624.35 and 46,763.08 is: 70,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.86 : 238,624.35 = 46,763.08 : x
  2. Step 2: Convert to fraction form
    159,082.86/238,624.35 = 46,763.08/x
  3. Step 3: Cross multiply
    159,082.86x = 238,624.35 × 46,763.08
  4. Step 4: Simplify right side
    159,082.86x = 11,158,809,569.00
  5. Step 5: Solve for x
    x = 11,158,809,569.00/159,082.86
  6. Step 6: Final answer
    x = 70,144.64

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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.