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Finding the Fourth Proportional to 103,830.18, 143,295.66 and 66,102

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Solution

The fourth proportional to 103,830.18, 143,295.66 and 66,102 is: 91,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830.18 : 143,295.66 = 66,102 : x
  2. Step 2: Convert to fraction form
    103,830.18/143,295.66 = 66,102/x
  3. Step 3: Cross multiply
    103,830.18x = 143,295.66 × 66,102
  4. Step 4: Simplify right side
    103,830.18x = 9,472,129,717.32
  5. Step 5: Solve for x
    x = 9,472,129,717.32/103,830.18
  6. Step 6: Final answer
    x = 91,227.13

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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.