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Finding the Fourth Proportional to 105,902.45, 158,818.40 and 42,706.25

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Solution

The fourth proportional to 105,902.45, 158,818.40 and 42,706.25 is: 64,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,902.45 : 158,818.40 = 42,706.25 : x
  2. Step 2: Convert to fraction form
    105,902.45/158,818.40 = 42,706.25/x
  3. Step 3: Cross multiply
    105,902.45x = 158,818.40 × 42,706.25
  4. Step 4: Simplify right side
    105,902.45x = 6,782,538,295
  5. Step 5: Solve for x
    x = 6,782,538,295/105,902.45
  6. Step 6: Final answer
    x = 64,045.15

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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.