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Finding the Fourth Proportional to 105,409.84, 157,861.37 and 60,294.46

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Solution

The fourth proportional to 105,409.84, 157,861.37 and 60,294.46 is: 90,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.84 : 157,861.37 = 60,294.46 : x
  2. Step 2: Convert to fraction form
    105,409.84/157,861.37 = 60,294.46/x
  3. Step 3: Cross multiply
    105,409.84x = 157,861.37 × 60,294.46
  4. Step 4: Simplify right side
    105,409.84x = 9,518,166,111.08
  5. Step 5: Solve for x
    x = 9,518,166,111.08/105,409.84
  6. Step 6: Final answer
    x = 90,296.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.