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Finding the Fourth Proportional to 201,788, 278,476.08 and 112,364

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Solution

The fourth proportional to 201,788, 278,476.08 and 112,364 is: 155,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,788 : 278,476.08 = 112,364 : x
  2. Step 2: Convert to fraction form
    201,788/278,476.08 = 112,364/x
  3. Step 3: Cross multiply
    201,788x = 278,476.08 × 112,364
  4. Step 4: Simplify right side
    201,788x = 31,290,686,253.12
  5. Step 5: Solve for x
    x = 31,290,686,253.12/201,788
  6. Step 6: Final answer
    x = 155,067.13

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