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Finding the Fourth Proportional to 208,278.34, 312,417.42 and 50,506.77

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Solution

The fourth proportional to 208,278.34, 312,417.42 and 50,506.77 is: 75,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,278.34 : 312,417.42 = 50,506.77 : x
  2. Step 2: Convert to fraction form
    208,278.34/312,417.42 = 50,506.77/x
  3. Step 3: Cross multiply
    208,278.34x = 312,417.42 × 50,506.77
  4. Step 4: Simplify right side
    208,278.34x = 15,779,194,775.93
  5. Step 5: Solve for x
    x = 15,779,194,775.93/208,278.34
  6. Step 6: Final answer
    x = 75,760.13

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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.