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Finding the Fourth Proportional to 308,554.95, 462,866.45 and 98,143.68

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Solution

The fourth proportional to 308,554.95, 462,866.45 and 98,143.68 is: 147,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,554.95 : 462,866.45 = 98,143.68 : x
  2. Step 2: Convert to fraction form
    308,554.95/462,866.45 = 98,143.68/x
  3. Step 3: Cross multiply
    308,554.95x = 462,866.45 × 98,143.68
  4. Step 4: Simplify right side
    308,554.95x = 45,427,416,260.82
  5. Step 5: Solve for x
    x = 45,427,416,260.82/308,554.95
  6. Step 6: Final answer
    x = 147,226.34

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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.