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Finding the Fourth Proportional to 161,917.20, 242,875.80 and 146,170.80

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Solution

The fourth proportional to 161,917.20, 242,875.80 and 146,170.80 is: 219,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,917.20 : 242,875.80 = 146,170.80 : x
  2. Step 2: Convert to fraction form
    161,917.20/242,875.80 = 146,170.80/x
  3. Step 3: Cross multiply
    161,917.20x = 242,875.80 × 146,170.80
  4. Step 4: Simplify right side
    161,917.20x = 35,501,349,986.64
  5. Step 5: Solve for x
    x = 35,501,349,986.64/161,917.20
  6. Step 6: Final answer
    x = 219,256.20

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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.