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Finding the Fourth Proportional to 316,105.36, 473,910.36 and 158,254.48

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Solution

The fourth proportional to 316,105.36, 473,910.36 and 158,254.48 is: 237,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,105.36 : 473,910.36 = 158,254.48 : x
  2. Step 2: Convert to fraction form
    316,105.36/473,910.36 = 158,254.48/x
  3. Step 3: Cross multiply
    316,105.36x = 473,910.36 × 158,254.48
  4. Step 4: Simplify right side
    316,105.36x = 74,998,437,588.41
  5. Step 5: Solve for x
    x = 74,998,437,588.41/316,105.36
  6. Step 6: Final answer
    x = 237,257.72

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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.