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Finding the Fourth Proportional to 188,097.84, 282,225.90 and 117,079.86

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Solution

The fourth proportional to 188,097.84, 282,225.90 and 117,079.86 is: 175,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,097.84 : 282,225.90 = 117,079.86 : x
  2. Step 2: Convert to fraction form
    188,097.84/282,225.90 = 117,079.86/x
  3. Step 3: Cross multiply
    188,097.84x = 282,225.90 × 117,079.86
  4. Step 4: Simplify right side
    188,097.84x = 33,042,968,860.37
  5. Step 5: Solve for x
    x = 33,042,968,860.37/188,097.84
  6. Step 6: Final answer
    x = 175,669.05

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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.