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Finding the Fourth Proportional to 117,702.90, 176,498.70 and 42,770.82

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Solution

The fourth proportional to 117,702.90, 176,498.70 and 42,770.82 is: 64,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.90 : 176,498.70 = 42,770.82 : x
  2. Step 2: Convert to fraction form
    117,702.90/176,498.70 = 42,770.82/x
  3. Step 3: Cross multiply
    117,702.90x = 176,498.70 × 42,770.82
  4. Step 4: Simplify right side
    117,702.90x = 7,548,994,127.93
  5. Step 5: Solve for x
    x = 7,548,994,127.93/117,702.90
  6. Step 6: Final answer
    x = 64,136.01

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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.