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Finding the Fourth Proportional to 208,457.44, 312,681.84 and 50,686.72

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Solution

The fourth proportional to 208,457.44, 312,681.84 and 50,686.72 is: 76,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,457.44 : 312,681.84 = 50,686.72 : x
  2. Step 2: Convert to fraction form
    208,457.44/312,681.84 = 50,686.72/x
  3. Step 3: Cross multiply
    208,457.44x = 312,681.84 × 50,686.72
  4. Step 4: Simplify right side
    208,457.44x = 15,848,816,873.16
  5. Step 5: Solve for x
    x = 15,848,816,873.16/208,457.44
  6. Step 6: Final answer
    x = 76,029.03

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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.