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Finding the Fourth Proportional to 200,870.34, 277,191.69 and 110,224.02

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Solution

The fourth proportional to 200,870.34, 277,191.69 and 110,224.02 is: 152,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,870.34 : 277,191.69 = 110,224.02 : x
  2. Step 2: Convert to fraction form
    200,870.34/277,191.69 = 110,224.02/x
  3. Step 3: Cross multiply
    200,870.34x = 277,191.69 × 110,224.02
  4. Step 4: Simplify right side
    200,870.34x = 30,553,182,382.39
  5. Step 5: Solve for x
    x = 30,553,182,382.39/200,870.34
  6. Step 6: Final answer
    x = 152,104.00

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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.