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Finding the Fourth Proportional to 136,801, 205,033.02 and 97,143.40

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Solution

The fourth proportional to 136,801, 205,033.02 and 97,143.40 is: 145,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,801 : 205,033.02 = 97,143.40 : x
  2. Step 2: Convert to fraction form
    136,801/205,033.02 = 97,143.40/x
  3. Step 3: Cross multiply
    136,801x = 205,033.02 × 97,143.40
  4. Step 4: Simplify right side
    136,801x = 19,917,604,675.07
  5. Step 5: Solve for x
    x = 19,917,604,675.07/136,801
  6. Step 6: Final answer
    x = 145,595.46

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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.