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Finding the Fourth Proportional to 201,381.98, 277,901.49 and 110,738.12

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Solution

The fourth proportional to 201,381.98, 277,901.49 and 110,738.12 is: 152,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,381.98 : 277,901.49 = 110,738.12 : x
  2. Step 2: Convert to fraction form
    201,381.98/277,901.49 = 110,738.12/x
  3. Step 3: Cross multiply
    201,381.98x = 277,901.49 × 110,738.12
  4. Step 4: Simplify right side
    201,381.98x = 30,774,288,547.80
  5. Step 5: Solve for x
    x = 30,774,288,547.80/201,381.98
  6. Step 6: Final answer
    x = 152,815.50

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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.