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Finding the Fourth Proportional to 103,664.90, 143,146.38 and 65,490.81

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Solution

The fourth proportional to 103,664.90, 143,146.38 and 65,490.81 is: 90,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664.90 : 143,146.38 = 65,490.81 : x
  2. Step 2: Convert to fraction form
    103,664.90/143,146.38 = 65,490.81/x
  3. Step 3: Cross multiply
    103,664.90x = 143,146.38 × 65,490.81
  4. Step 4: Simplify right side
    103,664.90x = 9,374,772,374.77
  5. Step 5: Solve for x
    x = 9,374,772,374.77/103,664.90
  6. Step 6: Final answer
    x = 90,433.43

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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.