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Finding the Fourth Proportional to 312,756.30, 469,134.81 and 76,097.34

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Solution

The fourth proportional to 312,756.30, 469,134.81 and 76,097.34 is: 114,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,756.30 : 469,134.81 = 76,097.34 : x
  2. Step 2: Convert to fraction form
    312,756.30/469,134.81 = 76,097.34/x
  3. Step 3: Cross multiply
    312,756.30x = 469,134.81 × 76,097.34
  4. Step 4: Simplify right side
    312,756.30x = 35,699,911,142.41
  5. Step 5: Solve for x
    x = 35,699,911,142.41/312,756.30
  6. Step 6: Final answer
    x = 114,146.10

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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.