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Finding the Fourth Proportional to 117,565.98, 176,348.01 and 47,444.22

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Solution

The fourth proportional to 117,565.98, 176,348.01 and 47,444.22 is: 71,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565.98 : 176,348.01 = 47,444.22 : x
  2. Step 2: Convert to fraction form
    117,565.98/176,348.01 = 47,444.22/x
  3. Step 3: Cross multiply
    117,565.98x = 176,348.01 × 47,444.22
  4. Step 4: Simplify right side
    117,565.98x = 8,366,693,783.00
  5. Step 5: Solve for x
    x = 8,366,693,783.00/117,565.98
  6. Step 6: Final answer
    x = 71,165.94

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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.