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Finding the Fourth Proportional to 136,088.19, 204,101.10 and 51,857.91

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Solution

The fourth proportional to 136,088.19, 204,101.10 and 51,857.91 is: 77,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,088.19 : 204,101.10 = 51,857.91 : x
  2. Step 2: Convert to fraction form
    136,088.19/204,101.10 = 51,857.91/x
  3. Step 3: Cross multiply
    136,088.19x = 204,101.10 × 51,857.91
  4. Step 4: Simplify right side
    136,088.19x = 10,584,256,474.70
  5. Step 5: Solve for x
    x = 10,584,256,474.70/136,088.19
  6. Step 6: Final answer
    x = 77,774.98

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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.