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Finding the Fourth Proportional to 176,830.32, 265,246.20 and 71,651.28

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Solution

The fourth proportional to 176,830.32, 265,246.20 and 71,651.28 is: 107,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,830.32 : 265,246.20 = 71,651.28 : x
  2. Step 2: Convert to fraction form
    176,830.32/265,246.20 = 71,651.28/x
  3. Step 3: Cross multiply
    176,830.32x = 265,246.20 × 71,651.28
  4. Step 4: Simplify right side
    176,830.32x = 19,005,229,745.14
  5. Step 5: Solve for x
    x = 19,005,229,745.14/176,830.32
  6. Step 6: Final answer
    x = 107,477.21

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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.