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Finding the Fourth Proportional to 201,175.34, 301,819.54 and 59,024

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Solution

The fourth proportional to 201,175.34, 301,819.54 and 59,024 is: 88,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,175.34 : 301,819.54 = 59,024 : x
  2. Step 2: Convert to fraction form
    201,175.34/301,819.54 = 59,024/x
  3. Step 3: Cross multiply
    201,175.34x = 301,819.54 × 59,024
  4. Step 4: Simplify right side
    201,175.34x = 17,814,596,528.96
  5. Step 5: Solve for x
    x = 17,814,596,528.96/201,175.34
  6. Step 6: Final answer
    x = 88,552.59

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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.