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Finding the Fourth Proportional to 210,978.32, 291,150.52 and 115,491.12

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Solution

The fourth proportional to 210,978.32, 291,150.52 and 115,491.12 is: 159,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,978.32 : 291,150.52 = 115,491.12 : x
  2. Step 2: Convert to fraction form
    210,978.32/291,150.52 = 115,491.12/x
  3. Step 3: Cross multiply
    210,978.32x = 291,150.52 × 115,491.12
  4. Step 4: Simplify right side
    210,978.32x = 33,625,299,643.38
  5. Step 5: Solve for x
    x = 33,625,299,643.38/210,978.32
  6. Step 6: Final answer
    x = 159,377.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.