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Finding the Fourth Proportional to 210,874.02, 316,311.24 and 86,215.02

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Solution

The fourth proportional to 210,874.02, 316,311.24 and 86,215.02 is: 129,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,874.02 : 316,311.24 = 86,215.02 : x
  2. Step 2: Convert to fraction form
    210,874.02/316,311.24 = 86,215.02/x
  3. Step 3: Cross multiply
    210,874.02x = 316,311.24 × 86,215.02
  4. Step 4: Simplify right side
    210,874.02x = 27,270,779,882.82
  5. Step 5: Solve for x
    x = 27,270,779,882.82/210,874.02
  6. Step 6: Final answer
    x = 129,322.62

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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.