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Finding the Fourth Proportional to 228,341.78, 342,475.46 and 76,606.01

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Solution

The fourth proportional to 228,341.78, 342,475.46 and 76,606.01 is: 114,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,341.78 : 342,475.46 = 76,606.01 : x
  2. Step 2: Convert to fraction form
    228,341.78/342,475.46 = 76,606.01/x
  3. Step 3: Cross multiply
    228,341.78x = 342,475.46 × 76,606.01
  4. Step 4: Simplify right side
    228,341.78x = 26,235,676,418.11
  5. Step 5: Solve for x
    x = 26,235,676,418.11/228,341.78
  6. Step 6: Final answer
    x = 114,896.52

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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.