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Finding the Fourth Proportional to 102,409.72, 153,684.25 and 62,846.08

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Solution

The fourth proportional to 102,409.72, 153,684.25 and 62,846.08 is: 94,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.72 : 153,684.25 = 62,846.08 : x
  2. Step 2: Convert to fraction form
    102,409.72/153,684.25 = 62,846.08/x
  3. Step 3: Cross multiply
    102,409.72x = 153,684.25 × 62,846.08
  4. Step 4: Simplify right side
    102,409.72x = 9,658,452,128.91
  5. Step 5: Solve for x
    x = 9,658,452,128.91/102,409.72
  6. Step 6: Final answer
    x = 94,311.87

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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.