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Finding the Fourth Proportional to 105,735.49, 145,922.70 and 60,412.50

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Solution

The fourth proportional to 105,735.49, 145,922.70 and 60,412.50 is: 83,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.49 : 145,922.70 = 60,412.50 : x
  2. Step 2: Convert to fraction form
    105,735.49/145,922.70 = 60,412.50/x
  3. Step 3: Cross multiply
    105,735.49x = 145,922.70 × 60,412.50
  4. Step 4: Simplify right side
    105,735.49x = 8,815,555,113.75
  5. Step 5: Solve for x
    x = 8,815,555,113.75/105,735.49
  6. Step 6: Final answer
    x = 83,373.66

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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.