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Finding the Fourth Proportional to 142,783.04, 214,178.04 and 48,014.60

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Solution

The fourth proportional to 142,783.04, 214,178.04 and 48,014.60 is: 72,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,783.04 : 214,178.04 = 48,014.60 : x
  2. Step 2: Convert to fraction form
    142,783.04/214,178.04 = 48,014.60/x
  3. Step 3: Cross multiply
    142,783.04x = 214,178.04 × 48,014.60
  4. Step 4: Simplify right side
    142,783.04x = 10,283,672,919.38
  5. Step 5: Solve for x
    x = 10,283,672,919.38/142,783.04
  6. Step 6: Final answer
    x = 72,023.07

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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.