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Finding the Fourth Proportional to 116,200.40, 174,041.40 and 95,464.40

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Solution

The fourth proportional to 116,200.40, 174,041.40 and 95,464.40 is: 142,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,200.40 : 174,041.40 = 95,464.40 : x
  2. Step 2: Convert to fraction form
    116,200.40/174,041.40 = 95,464.40/x
  3. Step 3: Cross multiply
    116,200.40x = 174,041.40 × 95,464.40
  4. Step 4: Simplify right side
    116,200.40x = 16,614,757,826.16
  5. Step 5: Solve for x
    x = 16,614,757,826.16/116,200.40
  6. Step 6: Final answer
    x = 142,983.65

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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.