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Finding the Fourth Proportional to 142,781.04, 214,175.04 and 48,012.60

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Solution

The fourth proportional to 142,781.04, 214,175.04 and 48,012.60 is: 72,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.04 : 214,175.04 = 48,012.60 : x
  2. Step 2: Convert to fraction form
    142,781.04/214,175.04 = 48,012.60/x
  3. Step 3: Cross multiply
    142,781.04x = 214,175.04 × 48,012.60
  4. Step 4: Simplify right side
    142,781.04x = 10,283,100,525.50
  5. Step 5: Solve for x
    x = 10,283,100,525.50/142,781.04
  6. Step 6: Final answer
    x = 72,020.07

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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.