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Finding the Fourth Proportional to 159,082.61, 238,623.98 and 46,762.83

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Solution

The fourth proportional to 159,082.61, 238,623.98 and 46,762.83 is: 70,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.61 : 238,623.98 = 46,762.83 : x
  2. Step 2: Convert to fraction form
    159,082.61/238,623.98 = 46,762.83/x
  3. Step 3: Cross multiply
    159,082.61x = 238,623.98 × 46,762.83
  4. Step 4: Simplify right side
    159,082.61x = 11,158,732,376.85
  5. Step 5: Solve for x
    x = 11,158,732,376.85/159,082.61
  6. Step 6: Final answer
    x = 70,144.26

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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.