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Finding the Fourth Proportional to 136,794.25, 205,263.60 and 97,069.94

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Solution

The fourth proportional to 136,794.25, 205,263.60 and 97,069.94 is: 145,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,794.25 : 205,263.60 = 97,069.94 : x
  2. Step 2: Convert to fraction form
    136,794.25/205,263.60 = 97,069.94/x
  3. Step 3: Cross multiply
    136,794.25x = 205,263.60 × 97,069.94
  4. Step 4: Simplify right side
    136,794.25x = 19,924,923,824.52
  5. Step 5: Solve for x
    x = 19,924,923,824.52/136,794.25
  6. Step 6: Final answer
    x = 145,656.16

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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.