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Finding the Fourth Proportional to 117,531.99, 176,367.96 and 42,657.93

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Solution

The fourth proportional to 117,531.99, 176,367.96 and 42,657.93 is: 64,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531.99 : 176,367.96 = 42,657.93 : x
  2. Step 2: Convert to fraction form
    117,531.99/176,367.96 = 42,657.93/x
  3. Step 3: Cross multiply
    117,531.99x = 176,367.96 × 42,657.93
  4. Step 4: Simplify right side
    117,531.99x = 7,523,492,091.92
  5. Step 5: Solve for x
    x = 7,523,492,091.92/117,531.99
  6. Step 6: Final answer
    x = 64,012.29

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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.