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Finding the Fourth Proportional to 160,408.54, 240,477.47 and 101,113.50

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Solution

The fourth proportional to 160,408.54, 240,477.47 and 101,113.50 is: 151,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,408.54 : 240,477.47 = 101,113.50 : x
  2. Step 2: Convert to fraction form
    160,408.54/240,477.47 = 101,113.50/x
  3. Step 3: Cross multiply
    160,408.54x = 240,477.47 × 101,113.50
  4. Step 4: Simplify right side
    160,408.54x = 24,315,518,662.85
  5. Step 5: Solve for x
    x = 24,315,518,662.85/160,408.54
  6. Step 6: Final answer
    x = 151,584.94

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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.