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Finding the Fourth Proportional to 117,543, 176,314.14 and 42,663.06

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Solution

The fourth proportional to 117,543, 176,314.14 and 42,663.06 is: 63,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543 : 176,314.14 = 42,663.06 : x
  2. Step 2: Convert to fraction form
    117,543/176,314.14 = 42,663.06/x
  3. Step 3: Cross multiply
    117,543x = 176,314.14 × 42,663.06
  4. Step 4: Simplify right side
    117,543x = 7,522,100,733.67
  5. Step 5: Solve for x
    x = 7,522,100,733.67/117,543
  6. Step 6: Final answer
    x = 63,994.46

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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.