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Finding the Fourth Proportional to 134,098.67, 201,148 and 34,259.08

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Solution

The fourth proportional to 134,098.67, 201,148 and 34,259.08 is: 51,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,098.67 : 201,148 = 34,259.08 : x
  2. Step 2: Convert to fraction form
    134,098.67/201,148 = 34,259.08/x
  3. Step 3: Cross multiply
    134,098.67x = 201,148 × 34,259.08
  4. Step 4: Simplify right side
    134,098.67x = 6,891,145,423.84
  5. Step 5: Solve for x
    x = 6,891,145,423.84/134,098.67
  6. Step 6: Final answer
    x = 51,388.62

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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.