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Finding the Fourth Proportional to 160,466.76, 240,739.02 and 48,146.76

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Solution

The fourth proportional to 160,466.76, 240,739.02 and 48,146.76 is: 72,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,466.76 : 240,739.02 = 48,146.76 : x
  2. Step 2: Convert to fraction form
    160,466.76/240,739.02 = 48,146.76/x
  3. Step 3: Cross multiply
    160,466.76x = 240,739.02 × 48,146.76
  4. Step 4: Simplify right side
    160,466.76x = 11,590,803,818.58
  5. Step 5: Solve for x
    x = 11,590,803,818.58/160,466.76
  6. Step 6: Final answer
    x = 72,231.81

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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.