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Finding the Fourth Proportional to 105,123.09, 145,102.05 and 64,849.41

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Solution

The fourth proportional to 105,123.09, 145,102.05 and 64,849.41 is: 89,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,123.09 : 145,102.05 = 64,849.41 : x
  2. Step 2: Convert to fraction form
    105,123.09/145,102.05 = 64,849.41/x
  3. Step 3: Cross multiply
    105,123.09x = 145,102.05 × 64,849.41
  4. Step 4: Simplify right side
    105,123.09x = 9,409,782,008.04
  5. Step 5: Solve for x
    x = 9,409,782,008.04/105,123.09
  6. Step 6: Final answer
    x = 89,512.04

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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.