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Finding the Fourth Proportional to 188,182.54, 281,904.76 and 109,130.69

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Solution

The fourth proportional to 188,182.54, 281,904.76 and 109,130.69 is: 163,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,182.54 : 281,904.76 = 109,130.69 : x
  2. Step 2: Convert to fraction form
    188,182.54/281,904.76 = 109,130.69/x
  3. Step 3: Cross multiply
    188,182.54x = 281,904.76 × 109,130.69
  4. Step 4: Simplify right side
    188,182.54x = 30,764,461,200.40
  5. Step 5: Solve for x
    x = 30,764,461,200.40/188,182.54
  6. Step 6: Final answer
    x = 163,482.02

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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.