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Finding the Fourth Proportional to 163,451, 245,176.50 and 52,643

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Solution

The fourth proportional to 163,451, 245,176.50 and 52,643 is: 78,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,451 : 245,176.50 = 52,643 : x
  2. Step 2: Convert to fraction form
    163,451/245,176.50 = 52,643/x
  3. Step 3: Cross multiply
    163,451x = 245,176.50 × 52,643
  4. Step 4: Simplify right side
    163,451x = 12,906,826,489.50
  5. Step 5: Solve for x
    x = 12,906,826,489.50/163,451
  6. Step 6: Final answer
    x = 78,964.50

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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.