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Finding the Fourth Proportional to 106,461.30, 146,941.38 and 70,652.82

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Solution

The fourth proportional to 106,461.30, 146,941.38 and 70,652.82 is: 97,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.30 : 146,941.38 = 70,652.82 : x
  2. Step 2: Convert to fraction form
    106,461.30/146,941.38 = 70,652.82/x
  3. Step 3: Cross multiply
    106,461.30x = 146,941.38 × 70,652.82
  4. Step 4: Simplify right side
    106,461.30x = 10,381,822,871.69
  5. Step 5: Solve for x
    x = 10,381,822,871.69/106,461.30
  6. Step 6: Final answer
    x = 97,517.34

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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.