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Finding the Fourth Proportional to 200,853.36, 277,177.44 and 110,209.84

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Solution

The fourth proportional to 200,853.36, 277,177.44 and 110,209.84 is: 152,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,853.36 : 277,177.44 = 110,209.84 : x
  2. Step 2: Convert to fraction form
    200,853.36/277,177.44 = 110,209.84/x
  3. Step 3: Cross multiply
    200,853.36x = 277,177.44 × 110,209.84
  4. Step 4: Simplify right side
    200,853.36x = 30,547,681,314.01
  5. Step 5: Solve for x
    x = 30,547,681,314.01/200,853.36
  6. Step 6: Final answer
    x = 152,089.47

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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.