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Finding the Fourth Proportional to 160,477.67, 240,739.98 and 48,166.77

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Solution

The fourth proportional to 160,477.67, 240,739.98 and 48,166.77 is: 72,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,477.67 : 240,739.98 = 48,166.77 : x
  2. Step 2: Convert to fraction form
    160,477.67/240,739.98 = 48,166.77/x
  3. Step 3: Cross multiply
    160,477.67x = 240,739.98 × 48,166.77
  4. Step 4: Simplify right side
    160,477.67x = 11,595,667,246.46
  5. Step 5: Solve for x
    x = 11,595,667,246.46/160,477.67
  6. Step 6: Final answer
    x = 72,257.20

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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.