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Finding the Fourth Proportional to 188,509.48, 282,530.78 and 94,964.20

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Solution

The fourth proportional to 188,509.48, 282,530.78 and 94,964.20 is: 142,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,509.48 : 282,530.78 = 94,964.20 : x
  2. Step 2: Convert to fraction form
    188,509.48/282,530.78 = 94,964.20/x
  3. Step 3: Cross multiply
    188,509.48x = 282,530.78 × 94,964.20
  4. Step 4: Simplify right side
    188,509.48x = 26,830,309,498.08
  5. Step 5: Solve for x
    x = 26,830,309,498.08/188,509.48
  6. Step 6: Final answer
    x = 142,328.70

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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.