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Finding the Fourth Proportional to 117,158.46, 175,838.13 and 47,088.06

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Solution

The fourth proportional to 117,158.46, 175,838.13 and 47,088.06 is: 70,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,158.46 : 175,838.13 = 47,088.06 : x
  2. Step 2: Convert to fraction form
    117,158.46/175,838.13 = 47,088.06/x
  3. Step 3: Cross multiply
    117,158.46x = 175,838.13 × 47,088.06
  4. Step 4: Simplify right side
    117,158.46x = 8,279,876,415.73
  5. Step 5: Solve for x
    x = 8,279,876,415.73/117,158.46
  6. Step 6: Final answer
    x = 70,672.46

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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.