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Finding the Fourth Proportional to 117,684.98, 176,472.01 and 42,752.30

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Solution

The fourth proportional to 117,684.98, 176,472.01 and 42,752.30 is: 64,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,684.98 : 176,472.01 = 42,752.30 : x
  2. Step 2: Convert to fraction form
    117,684.98/176,472.01 = 42,752.30/x
  3. Step 3: Cross multiply
    117,684.98x = 176,472.01 × 42,752.30
  4. Step 4: Simplify right side
    117,684.98x = 7,544,584,313.12
  5. Step 5: Solve for x
    x = 7,544,584,313.12/117,684.98
  6. Step 6: Final answer
    x = 64,108.30

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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.