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Finding the Fourth Proportional to 142,768.60, 214,152.90 and 42,944.20

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Solution

The fourth proportional to 142,768.60, 214,152.90 and 42,944.20 is: 64,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,768.60 : 214,152.90 = 42,944.20 : x
  2. Step 2: Convert to fraction form
    142,768.60/214,152.90 = 42,944.20/x
  3. Step 3: Cross multiply
    142,768.60x = 214,152.90 × 42,944.20
  4. Step 4: Simplify right side
    142,768.60x = 9,196,624,968.18
  5. Step 5: Solve for x
    x = 9,196,624,968.18/142,768.60
  6. Step 6: Final answer
    x = 64,416.30

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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.