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Finding the Fourth Proportional to 142,765.07, 214,149.11 and 58,503.60

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Solution

The fourth proportional to 142,765.07, 214,149.11 and 58,503.60 is: 87,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.07 : 214,149.11 = 58,503.60 : x
  2. Step 2: Convert to fraction form
    142,765.07/214,149.11 = 58,503.60/x
  3. Step 3: Cross multiply
    142,765.07x = 214,149.11 × 58,503.60
  4. Step 4: Simplify right side
    142,765.07x = 12,528,493,579.28
  5. Step 5: Solve for x
    x = 12,528,493,579.28/142,765.07
  6. Step 6: Final answer
    x = 87,756.02

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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.