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Finding the Fourth Proportional to 193,656.60, 289,946.14 and 98,682.03

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Solution

The fourth proportional to 193,656.60, 289,946.14 and 98,682.03 is: 147,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,656.60 : 289,946.14 = 98,682.03 : x
  2. Step 2: Convert to fraction form
    193,656.60/289,946.14 = 98,682.03/x
  3. Step 3: Cross multiply
    193,656.60x = 289,946.14 × 98,682.03
  4. Step 4: Simplify right side
    193,656.60x = 28,612,473,439.16
  5. Step 5: Solve for x
    x = 28,612,473,439.16/193,656.60
  6. Step 6: Final answer
    x = 147,748.51

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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.