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Finding the Fourth Proportional to 201,258.73, 301,898.76 and 51,500.08

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Solution

The fourth proportional to 201,258.73, 301,898.76 and 51,500.08 is: 77,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,258.73 : 301,898.76 = 51,500.08 : x
  2. Step 2: Convert to fraction form
    201,258.73/301,898.76 = 51,500.08/x
  3. Step 3: Cross multiply
    201,258.73x = 301,898.76 × 51,500.08
  4. Step 4: Simplify right side
    201,258.73x = 15,547,810,291.90
  5. Step 5: Solve for x
    x = 15,547,810,291.90/201,258.73
  6. Step 6: Final answer
    x = 77,252.85

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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.