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Finding the Fourth Proportional to 211,220.92, 316,076.46 and 183,467.98

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Solution

The fourth proportional to 211,220.92, 316,076.46 and 183,467.98 is: 274,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,220.92 : 316,076.46 = 183,467.98 : x
  2. Step 2: Convert to fraction form
    211,220.92/316,076.46 = 183,467.98/x
  3. Step 3: Cross multiply
    211,220.92x = 316,076.46 × 183,467.98
  4. Step 4: Simplify right side
    211,220.92x = 57,989,909,641.75
  5. Step 5: Solve for x
    x = 57,989,909,641.75/211,220.92
  6. Step 6: Final answer
    x = 274,546.24

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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.