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Finding the Fourth Proportional to 277,117.50, 382,422.16 and 201,729.18

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Solution

The fourth proportional to 277,117.50, 382,422.16 and 201,729.18 is: 278,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,117.50 : 382,422.16 = 201,729.18 : x
  2. Step 2: Convert to fraction form
    277,117.50/382,422.16 = 201,729.18/x
  3. Step 3: Cross multiply
    277,117.50x = 382,422.16 × 201,729.18
  4. Step 4: Simplify right side
    277,117.50x = 77,145,708,750.63
  5. Step 5: Solve for x
    x = 77,145,708,750.63/277,117.50
  6. Step 6: Final answer
    x = 278,386.28

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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.