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Finding the Fourth Proportional to 201,384.62, 302,090.28 and 59,242.64

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Solution

The fourth proportional to 201,384.62, 302,090.28 and 59,242.64 is: 88,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.62 : 302,090.28 = 59,242.64 : x
  2. Step 2: Convert to fraction form
    201,384.62/302,090.28 = 59,242.64/x
  3. Step 3: Cross multiply
    201,384.62x = 302,090.28 × 59,242.64
  4. Step 4: Simplify right side
    201,384.62x = 17,896,625,705.54
  5. Step 5: Solve for x
    x = 17,896,625,705.54/201,384.62
  6. Step 6: Final answer
    x = 88,867.89

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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.