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Finding the Fourth Proportional to 160,872.76, 241,303.04 and 48,550

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Solution

The fourth proportional to 160,872.76, 241,303.04 and 48,550 is: 72,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,872.76 : 241,303.04 = 48,550 : x
  2. Step 2: Convert to fraction form
    160,872.76/241,303.04 = 48,550/x
  3. Step 3: Cross multiply
    160,872.76x = 241,303.04 × 48,550
  4. Step 4: Simplify right side
    160,872.76x = 11,715,262,592
  5. Step 5: Solve for x
    x = 11,715,262,592/160,872.76
  6. Step 6: Final answer
    x = 72,823.16

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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.