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Finding the Fourth Proportional to 219,226.87, 302,534.49 and 128,564.38

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Solution

The fourth proportional to 219,226.87, 302,534.49 and 128,564.38 is: 177,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,226.87 : 302,534.49 = 128,564.38 : x
  2. Step 2: Convert to fraction form
    219,226.87/302,534.49 = 128,564.38/x
  3. Step 3: Cross multiply
    219,226.87x = 302,534.49 × 128,564.38
  4. Step 4: Simplify right side
    219,226.87x = 38,895,159,135.47
  5. Step 5: Solve for x
    x = 38,895,159,135.47/219,226.87
  6. Step 6: Final answer
    x = 177,419.67

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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.