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Finding the Fourth Proportional to 201,258.72, 301,898.34 and 51,500.28

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Solution

The fourth proportional to 201,258.72, 301,898.34 and 51,500.28 is: 77,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,258.72 : 301,898.34 = 51,500.28 : x
  2. Step 2: Convert to fraction form
    201,258.72/301,898.34 = 51,500.28/x
  3. Step 3: Cross multiply
    201,258.72x = 301,898.34 × 51,500.28
  4. Step 4: Simplify right side
    201,258.72x = 15,547,849,041.54
  5. Step 5: Solve for x
    x = 15,547,849,041.54/201,258.72
  6. Step 6: Final answer
    x = 77,253.05

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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.