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Finding the Fourth Proportional to 216,998.67, 299,258.40 and 148,895.49

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Solution

The fourth proportional to 216,998.67, 299,258.40 and 148,895.49 is: 205,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,998.67 : 299,258.40 = 148,895.49 : x
  2. Step 2: Convert to fraction form
    216,998.67/299,258.40 = 148,895.49/x
  3. Step 3: Cross multiply
    216,998.67x = 299,258.40 × 148,895.49
  4. Step 4: Simplify right side
    216,998.67x = 44,558,226,104.62
  5. Step 5: Solve for x
    x = 44,558,226,104.62/216,998.67
  6. Step 6: Final answer
    x = 205,338.71

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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.