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Finding the Fourth Proportional to 117,640, 162,343.20 and 64,648

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Solution

The fourth proportional to 117,640, 162,343.20 and 64,648 is: 89,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,640 : 162,343.20 = 64,648 : x
  2. Step 2: Convert to fraction form
    117,640/162,343.20 = 64,648/x
  3. Step 3: Cross multiply
    117,640x = 162,343.20 × 64,648
  4. Step 4: Simplify right side
    117,640x = 10,495,163,193.60
  5. Step 5: Solve for x
    x = 10,495,163,193.60/117,640
  6. Step 6: Final answer
    x = 89,214.24

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