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Finding the Fourth Proportional to 193,166.40, 289,749.60 and 134,117.40

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Solution

The fourth proportional to 193,166.40, 289,749.60 and 134,117.40 is: 201,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,166.40 : 289,749.60 = 134,117.40 : x
  2. Step 2: Convert to fraction form
    193,166.40/289,749.60 = 134,117.40/x
  3. Step 3: Cross multiply
    193,166.40x = 289,749.60 × 134,117.40
  4. Step 4: Simplify right side
    193,166.40x = 38,860,463,003.04
  5. Step 5: Solve for x
    x = 38,860,463,003.04/193,166.40
  6. Step 6: Final answer
    x = 201,176.10

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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.