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Finding the Fourth Proportional to 106,418.84, 146,705.34 and 83,718.37

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Solution

The fourth proportional to 106,418.84, 146,705.34 and 83,718.37 is: 115,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.84 : 146,705.34 = 83,718.37 : x
  2. Step 2: Convert to fraction form
    106,418.84/146,705.34 = 83,718.37/x
  3. Step 3: Cross multiply
    106,418.84x = 146,705.34 × 83,718.37
  4. Step 4: Simplify right side
    106,418.84x = 12,281,931,201.57
  5. Step 5: Solve for x
    x = 12,281,931,201.57/106,418.84
  6. Step 6: Final answer
    x = 115,411.25

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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.