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Finding the Fourth Proportional to 208,386.77, 312,580.14 and 50,614.16

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Solution

The fourth proportional to 208,386.77, 312,580.14 and 50,614.16 is: 75,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386.77 : 312,580.14 = 50,614.16 : x
  2. Step 2: Convert to fraction form
    208,386.77/312,580.14 = 50,614.16/x
  3. Step 3: Cross multiply
    208,386.77x = 312,580.14 × 50,614.16
  4. Step 4: Simplify right side
    208,386.77x = 15,820,979,655.88
  5. Step 5: Solve for x
    x = 15,820,979,655.88/208,386.77
  6. Step 6: Final answer
    x = 75,921.23

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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.