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Finding the Fourth Proportional to 196,963.04, 295,462.56 and 78,605.60

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Solution

The fourth proportional to 196,963.04, 295,462.56 and 78,605.60 is: 117,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,963.04 : 295,462.56 = 78,605.60 : x
  2. Step 2: Convert to fraction form
    196,963.04/295,462.56 = 78,605.60/x
  3. Step 3: Cross multiply
    196,963.04x = 295,462.56 × 78,605.60
  4. Step 4: Simplify right side
    196,963.04x = 23,225,011,806.34
  5. Step 5: Solve for x
    x = 23,225,011,806.34/196,963.04
  6. Step 6: Final answer
    x = 117,915.58

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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.