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Finding the Fourth Proportional to 202,820.48, 279,883.32 and 116,775.80

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Solution

The fourth proportional to 202,820.48, 279,883.32 and 116,775.80 is: 161,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,820.48 : 279,883.32 = 116,775.80 : x
  2. Step 2: Convert to fraction form
    202,820.48/279,883.32 = 116,775.80/x
  3. Step 3: Cross multiply
    202,820.48x = 279,883.32 × 116,775.80
  4. Step 4: Simplify right side
    202,820.48x = 32,683,598,599.66
  5. Step 5: Solve for x
    x = 32,683,598,599.66/202,820.48
  6. Step 6: Final answer
    x = 161,145.46

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1.5x scale

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.