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Finding the Fourth Proportional to 201,673.40, 302,510.10 and 96,697.40

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Solution

The fourth proportional to 201,673.40, 302,510.10 and 96,697.40 is: 145,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,673.40 : 302,510.10 = 96,697.40 : x
  2. Step 2: Convert to fraction form
    201,673.40/302,510.10 = 96,697.40/x
  3. Step 3: Cross multiply
    201,673.40x = 302,510.10 × 96,697.40
  4. Step 4: Simplify right side
    201,673.40x = 29,251,940,143.74
  5. Step 5: Solve for x
    x = 29,251,940,143.74/201,673.40
  6. Step 6: Final answer
    x = 145,046.10

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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.