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Finding the Fourth Proportional to 117,978.24, 176,967.36 and 34,865.76

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Solution

The fourth proportional to 117,978.24, 176,967.36 and 34,865.76 is: 52,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,978.24 : 176,967.36 = 34,865.76 : x
  2. Step 2: Convert to fraction form
    117,978.24/176,967.36 = 34,865.76/x
  3. Step 3: Cross multiply
    117,978.24x = 176,967.36 × 34,865.76
  4. Step 4: Simplify right side
    117,978.24x = 6,170,101,501.59
  5. Step 5: Solve for x
    x = 6,170,101,501.59/117,978.24
  6. Step 6: Final answer
    x = 52,298.64

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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.