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Finding the Fourth Proportional to 201,083.60, 301,711.80 and 102,587.60

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Solution

The fourth proportional to 201,083.60, 301,711.80 and 102,587.60 is: 153,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083.60 : 301,711.80 = 102,587.60 : x
  2. Step 2: Convert to fraction form
    201,083.60/301,711.80 = 102,587.60/x
  3. Step 3: Cross multiply
    201,083.60x = 301,711.80 × 102,587.60
  4. Step 4: Simplify right side
    201,083.60x = 30,951,889,453.68
  5. Step 5: Solve for x
    x = 30,951,889,453.68/201,083.60
  6. Step 6: Final answer
    x = 153,925.48

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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.