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Finding the Fourth Proportional to 117,467, 162,239.02 and 77,360.04

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Solution

The fourth proportional to 117,467, 162,239.02 and 77,360.04 is: 106,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,467 : 162,239.02 = 77,360.04 : x
  2. Step 2: Convert to fraction form
    117,467/162,239.02 = 77,360.04/x
  3. Step 3: Cross multiply
    117,467x = 162,239.02 × 77,360.04
  4. Step 4: Simplify right side
    117,467x = 12,550,817,076.76
  5. Step 5: Solve for x
    x = 12,550,817,076.76/117,467
  6. Step 6: Final answer
    x = 106,845.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.