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Finding the Fourth Proportional to 201,923.68, 302,894.16 and 75,552.16

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Solution

The fourth proportional to 201,923.68, 302,894.16 and 75,552.16 is: 113,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,923.68 : 302,894.16 = 75,552.16 : x
  2. Step 2: Convert to fraction form
    201,923.68/302,894.16 = 75,552.16/x
  3. Step 3: Cross multiply
    201,923.68x = 302,894.16 × 75,552.16
  4. Step 4: Simplify right side
    201,923.68x = 22,884,308,039.39
  5. Step 5: Solve for x
    x = 22,884,308,039.39/201,923.68
  6. Step 6: Final answer
    x = 113,331.47

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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.