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Finding the Fourth Proportional to 208,008.29, 312,059.21 and 65,862.06

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Solution

The fourth proportional to 208,008.29, 312,059.21 and 65,862.06 is: 98,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008.29 : 312,059.21 = 65,862.06 : x
  2. Step 2: Convert to fraction form
    208,008.29/312,059.21 = 65,862.06/x
  3. Step 3: Cross multiply
    208,008.29x = 312,059.21 × 65,862.06
  4. Step 4: Simplify right side
    208,008.29x = 20,552,862,083.26
  5. Step 5: Solve for x
    x = 20,552,862,083.26/208,008.29
  6. Step 6: Final answer
    x = 98,807.90

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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.