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Finding the Fourth Proportional to 186,145.44, 279,379.38 and 97,461

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Solution

The fourth proportional to 186,145.44, 279,379.38 and 97,461 is: 146,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,145.44 : 279,379.38 = 97,461 : x
  2. Step 2: Convert to fraction form
    186,145.44/279,379.38 = 97,461/x
  3. Step 3: Cross multiply
    186,145.44x = 279,379.38 × 97,461
  4. Step 4: Simplify right side
    186,145.44x = 27,228,593,754.18
  5. Step 5: Solve for x
    x = 27,228,593,754.18/186,145.44
  6. Step 6: Final answer
    x = 146,275.91

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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.