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Finding the Fourth Proportional to 201,463.83, 302,230.17 and 83,070.45

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Solution

The fourth proportional to 201,463.83, 302,230.17 and 83,070.45 is: 124,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463.83 : 302,230.17 = 83,070.45 : x
  2. Step 2: Convert to fraction form
    201,463.83/302,230.17 = 83,070.45/x
  3. Step 3: Cross multiply
    201,463.83x = 302,230.17 × 83,070.45
  4. Step 4: Simplify right side
    201,463.83x = 25,106,396,225.48
  5. Step 5: Solve for x
    x = 25,106,396,225.48/201,463.83
  6. Step 6: Final answer
    x = 124,619.87

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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.