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Finding the Fourth Proportional to 216,073.62, 298,313.01 and 148,202.10

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Solution

The fourth proportional to 216,073.62, 298,313.01 and 148,202.10 is: 204,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,073.62 : 298,313.01 = 148,202.10 : x
  2. Step 2: Convert to fraction form
    216,073.62/298,313.01 = 148,202.10/x
  3. Step 3: Cross multiply
    216,073.62x = 298,313.01 × 148,202.10
  4. Step 4: Simplify right side
    216,073.62x = 44,210,614,539.32
  5. Step 5: Solve for x
    x = 44,210,614,539.32/216,073.62
  6. Step 6: Final answer
    x = 204,609.03

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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.