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Finding the Fourth Proportional to 136,807.84, 205,233.36 and 52,564.64

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Solution

The fourth proportional to 136,807.84, 205,233.36 and 52,564.64 is: 78,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,807.84 : 205,233.36 = 52,564.64 : x
  2. Step 2: Convert to fraction form
    136,807.84/205,233.36 = 52,564.64/x
  3. Step 3: Cross multiply
    136,807.84x = 205,233.36 × 52,564.64
  4. Step 4: Simplify right side
    136,807.84x = 10,788,017,684.39
  5. Step 5: Solve for x
    x = 10,788,017,684.39/136,807.84
  6. Step 6: Final answer
    x = 78,855.26

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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.