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Finding the Fourth Proportional to 222,082.20, 333,123.30 and 97,666.20

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Solution

The fourth proportional to 222,082.20, 333,123.30 and 97,666.20 is: 146,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,082.20 : 333,123.30 = 97,666.20 : x
  2. Step 2: Convert to fraction form
    222,082.20/333,123.30 = 97,666.20/x
  3. Step 3: Cross multiply
    222,082.20x = 333,123.30 × 97,666.20
  4. Step 4: Simplify right side
    222,082.20x = 32,534,886,842.46
  5. Step 5: Solve for x
    x = 32,534,886,842.46/222,082.20
  6. Step 6: Final answer
    x = 146,499.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.