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Finding the Fourth Proportional to 148,649.54, 205,306.79 and 97,889.27

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Solution

The fourth proportional to 148,649.54, 205,306.79 and 97,889.27 is: 135,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,649.54 : 205,306.79 = 97,889.27 : x
  2. Step 2: Convert to fraction form
    148,649.54/205,306.79 = 97,889.27/x
  3. Step 3: Cross multiply
    148,649.54x = 205,306.79 × 97,889.27
  4. Step 4: Simplify right side
    148,649.54x = 20,097,330,283.16
  5. Step 5: Solve for x
    x = 20,097,330,283.16/148,649.54
  6. Step 6: Final answer
    x = 135,199.42

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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.