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Finding the Fourth Proportional to 118,226.24, 163,100.72 and 77,888.24

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Solution

The fourth proportional to 118,226.24, 163,100.72 and 77,888.24 is: 107,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,226.24 : 163,100.72 = 77,888.24 : x
  2. Step 2: Convert to fraction form
    118,226.24/163,100.72 = 77,888.24/x
  3. Step 3: Cross multiply
    118,226.24x = 163,100.72 × 77,888.24
  4. Step 4: Simplify right side
    118,226.24x = 12,703,628,023.53
  5. Step 5: Solve for x
    x = 12,703,628,023.53/118,226.24
  6. Step 6: Final answer
    x = 107,451.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.