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Finding the Fourth Proportional to 164,402.54, 226,851.17 and 99,838.20

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Solution

The fourth proportional to 164,402.54, 226,851.17 and 99,838.20 is: 137,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,402.54 : 226,851.17 = 99,838.20 : x
  2. Step 2: Convert to fraction form
    164,402.54/226,851.17 = 99,838.20/x
  3. Step 3: Cross multiply
    164,402.54x = 226,851.17 × 99,838.20
  4. Step 4: Simplify right side
    164,402.54x = 22,648,412,480.69
  5. Step 5: Solve for x
    x = 22,648,412,480.69/164,402.54
  6. Step 6: Final answer
    x = 137,761.94

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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.