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Finding the Fourth Proportional to 136,943.60, 205,415.40 and 77,894.60

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Solution

The fourth proportional to 136,943.60, 205,415.40 and 77,894.60 is: 116,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,943.60 : 205,415.40 = 77,894.60 : x
  2. Step 2: Convert to fraction form
    136,943.60/205,415.40 = 77,894.60/x
  3. Step 3: Cross multiply
    136,943.60x = 205,415.40 × 77,894.60
  4. Step 4: Simplify right side
    136,943.60x = 16,000,750,416.84
  5. Step 5: Solve for x
    x = 16,000,750,416.84/136,943.60
  6. Step 6: Final answer
    x = 116,841.90

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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.