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Finding the Fourth Proportional to 160,929, 241,432.50 and 50,121

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Solution

The fourth proportional to 160,929, 241,432.50 and 50,121 is: 75,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,929 : 241,432.50 = 50,121 : x
  2. Step 2: Convert to fraction form
    160,929/241,432.50 = 50,121/x
  3. Step 3: Cross multiply
    160,929x = 241,432.50 × 50,121
  4. Step 4: Simplify right side
    160,929x = 12,100,838,332.50
  5. Step 5: Solve for x
    x = 12,100,838,332.50/160,929
  6. Step 6: Final answer
    x = 75,193.65

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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.