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Finding the Fourth Proportional to 201,098.48, 301,686.58 and 76,429.76

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Solution

The fourth proportional to 201,098.48, 301,686.58 and 76,429.76 is: 114,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.48 : 301,686.58 = 76,429.76 : x
  2. Step 2: Convert to fraction form
    201,098.48/301,686.58 = 76,429.76/x
  3. Step 3: Cross multiply
    201,098.48x = 301,686.58 × 76,429.76
  4. Step 4: Simplify right side
    201,098.48x = 23,057,832,904.62
  5. Step 5: Solve for x
    x = 23,057,832,904.62/201,098.48
  6. Step 6: Final answer
    x = 114,659.41

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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.