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Finding the Fourth Proportional to 221,082.57, 304,785.02 and 186,954.14

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Solution

The fourth proportional to 221,082.57, 304,785.02 and 186,954.14 is: 257,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.57 : 304,785.02 = 186,954.14 : x
  2. Step 2: Convert to fraction form
    221,082.57/304,785.02 = 186,954.14/x
  3. Step 3: Cross multiply
    221,082.57x = 304,785.02 × 186,954.14
  4. Step 4: Simplify right side
    221,082.57x = 56,980,818,840.29
  5. Step 5: Solve for x
    x = 56,980,818,840.29/221,082.57
  6. Step 6: Final answer
    x = 257,735.46

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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.