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Finding the Fourth Proportional to 333,864.68, 500,820.10 and 134,185.24

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Solution

The fourth proportional to 333,864.68, 500,820.10 and 134,185.24 is: 201,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,864.68 : 500,820.10 = 134,185.24 : x
  2. Step 2: Convert to fraction form
    333,864.68/500,820.10 = 134,185.24/x
  3. Step 3: Cross multiply
    333,864.68x = 500,820.10 × 134,185.24
  4. Step 4: Simplify right side
    333,864.68x = 67,202,665,315.32
  5. Step 5: Solve for x
    x = 67,202,665,315.32/333,864.68
  6. Step 6: Final answer
    x = 201,287.14

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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.