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Finding the Fourth Proportional to 128,936.84, 193,146.16 and 65,754.40

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Solution

The fourth proportional to 128,936.84, 193,146.16 and 65,754.40 is: 98,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,936.84 : 193,146.16 = 65,754.40 : x
  2. Step 2: Convert to fraction form
    128,936.84/193,146.16 = 65,754.40/x
  3. Step 3: Cross multiply
    128,936.84x = 193,146.16 × 65,754.40
  4. Step 4: Simplify right side
    128,936.84x = 12,700,209,863.10
  5. Step 5: Solve for x
    x = 12,700,209,863.10/128,936.84
  6. Step 6: Final answer
    x = 98,499.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.