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Finding the Fourth Proportional to 202,956.45, 304,428.40 and 96,417.10

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Solution

The fourth proportional to 202,956.45, 304,428.40 and 96,417.10 is: 144,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,956.45 : 304,428.40 = 96,417.10 : x
  2. Step 2: Convert to fraction form
    202,956.45/304,428.40 = 96,417.10/x
  3. Step 3: Cross multiply
    202,956.45x = 304,428.40 × 96,417.10
  4. Step 4: Simplify right side
    202,956.45x = 29,352,103,485.64
  5. Step 5: Solve for x
    x = 29,352,103,485.64/202,956.45
  6. Step 6: Final answer
    x = 144,622.67

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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.