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Finding the Fourth Proportional to 201,256.71, 301,895.34 and 51,498.28

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Solution

The fourth proportional to 201,256.71, 301,895.34 and 51,498.28 is: 77,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,256.71 : 301,895.34 = 51,498.28 : x
  2. Step 2: Convert to fraction form
    201,256.71/301,895.34 = 51,498.28/x
  3. Step 3: Cross multiply
    201,256.71x = 301,895.34 × 51,498.28
  4. Step 4: Simplify right side
    201,256.71x = 15,547,090,750.02
  5. Step 5: Solve for x
    x = 15,547,090,750.02/201,256.71
  6. Step 6: Final answer
    x = 77,250.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.