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Finding the Fourth Proportional to 160,408.32, 240,461.16 and 55,153.68

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Solution

The fourth proportional to 160,408.32, 240,461.16 and 55,153.68 is: 82,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,408.32 : 240,461.16 = 55,153.68 : x
  2. Step 2: Convert to fraction form
    160,408.32/240,461.16 = 55,153.68/x
  3. Step 3: Cross multiply
    160,408.32x = 240,461.16 × 55,153.68
  4. Step 4: Simplify right side
    160,408.32x = 13,262,317,871.07
  5. Step 5: Solve for x
    x = 13,262,317,871.07/160,408.32
  6. Step 6: Final answer
    x = 82,678.49

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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.