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Finding the Fourth Proportional to 119,002, 178,549.73 and 52,395.40

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Solution

The fourth proportional to 119,002, 178,549.73 and 52,395.40 is: 78,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,002 : 178,549.73 = 52,395.40 : x
  2. Step 2: Convert to fraction form
    119,002/178,549.73 = 52,395.40/x
  3. Step 3: Cross multiply
    119,002x = 178,549.73 × 52,395.40
  4. Step 4: Simplify right side
    119,002x = 9,355,184,523.24
  5. Step 5: Solve for x
    x = 9,355,184,523.24/119,002
  6. Step 6: Final answer
    x = 78,613.67

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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.