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Finding the Fourth Proportional to 100,916.42, 151,374.62 and 41,686.98

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Solution

The fourth proportional to 100,916.42, 151,374.62 and 41,686.98 is: 62,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.42 : 151,374.62 = 41,686.98 : x
  2. Step 2: Convert to fraction form
    100,916.42/151,374.62 = 41,686.98/x
  3. Step 3: Cross multiply
    100,916.42x = 151,374.62 × 41,686.98
  4. Step 4: Simplify right side
    100,916.42x = 6,310,350,548.01
  5. Step 5: Solve for x
    x = 6,310,350,548.01/100,916.42
  6. Step 6: Final answer
    x = 62,530.47

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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.