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Finding the Fourth Proportional to 105,880.35, 158,818.47 and 42,699.05

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Solution

The fourth proportional to 105,880.35, 158,818.47 and 42,699.05 is: 64,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,880.35 : 158,818.47 = 42,699.05 : x
  2. Step 2: Convert to fraction form
    105,880.35/158,818.47 = 42,699.05/x
  3. Step 3: Cross multiply
    105,880.35x = 158,818.47 × 42,699.05
  4. Step 4: Simplify right side
    105,880.35x = 6,781,398,188.50
  5. Step 5: Solve for x
    x = 6,781,398,188.50/105,880.35
  6. Step 6: Final answer
    x = 64,047.75

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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.