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Finding the Fourth Proportional to 201,062.69, 277,458.18 and 109,178.38

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Solution

The fourth proportional to 201,062.69, 277,458.18 and 109,178.38 is: 150,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,062.69 : 277,458.18 = 109,178.38 : x
  2. Step 2: Convert to fraction form
    201,062.69/277,458.18 = 109,178.38/x
  3. Step 3: Cross multiply
    201,062.69x = 277,458.18 × 109,178.38
  4. Step 4: Simplify right side
    201,062.69x = 30,292,434,547.55
  5. Step 5: Solve for x
    x = 30,292,434,547.55/201,062.69
  6. Step 6: Final answer
    x = 150,661.64

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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.