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Finding the Fourth Proportional to 270,646.68, 406,007.69 and 112,838.84

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Solution

The fourth proportional to 270,646.68, 406,007.69 and 112,838.84 is: 169,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.68 : 406,007.69 = 112,838.84 : x
  2. Step 2: Convert to fraction form
    270,646.68/406,007.69 = 112,838.84/x
  3. Step 3: Cross multiply
    270,646.68x = 406,007.69 × 112,838.84
  4. Step 4: Simplify right side
    270,646.68x = 45,813,434,176.45
  5. Step 5: Solve for x
    x = 45,813,434,176.45/270,646.68
  6. Step 6: Final answer
    x = 169,273.96

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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.