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Finding the Fourth Proportional to 116,188, 174,211.69 and 52,134.40

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Solution

The fourth proportional to 116,188, 174,211.69 and 52,134.40 is: 78,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188 : 174,211.69 = 52,134.40 : x
  2. Step 2: Convert to fraction form
    116,188/174,211.69 = 52,134.40/x
  3. Step 3: Cross multiply
    116,188x = 174,211.69 × 52,134.40
  4. Step 4: Simplify right side
    116,188x = 9,082,421,931.14
  5. Step 5: Solve for x
    x = 9,082,421,931.14/116,188
  6. Step 6: Final answer
    x = 78,170.05

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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.