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Finding the Fourth Proportional to 100,657.30, 150,875.23 and 41,460.67

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Solution

The fourth proportional to 100,657.30, 150,875.23 and 41,460.67 is: 62,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.30 : 150,875.23 = 41,460.67 : x
  2. Step 2: Convert to fraction form
    100,657.30/150,875.23 = 41,460.67/x
  3. Step 3: Cross multiply
    100,657.30x = 150,875.23 × 41,460.67
  4. Step 4: Simplify right side
    100,657.30x = 6,255,388,592.61
  5. Step 5: Solve for x
    x = 6,255,388,592.61/100,657.30
  6. Step 6: Final answer
    x = 62,145.41

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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.