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Finding the Fourth Proportional to 117,210.31, 175,813.03 and 28,464.28

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Solution

The fourth proportional to 117,210.31, 175,813.03 and 28,464.28 is: 42,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,210.31 : 175,813.03 = 28,464.28 : x
  2. Step 2: Convert to fraction form
    117,210.31/175,813.03 = 28,464.28/x
  3. Step 3: Cross multiply
    117,210.31x = 175,813.03 × 28,464.28
  4. Step 4: Simplify right side
    117,210.31x = 5,004,391,313.57
  5. Step 5: Solve for x
    x = 5,004,391,313.57/117,210.31
  6. Step 6: Final answer
    x = 42,695.83

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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.