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Finding the Fourth Proportional to 105,988.08, 158,982.12 and 46,884

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Solution

The fourth proportional to 105,988.08, 158,982.12 and 46,884 is: 70,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.08 : 158,982.12 = 46,884 : x
  2. Step 2: Convert to fraction form
    105,988.08/158,982.12 = 46,884/x
  3. Step 3: Cross multiply
    105,988.08x = 158,982.12 × 46,884
  4. Step 4: Simplify right side
    105,988.08x = 7,453,717,714.08
  5. Step 5: Solve for x
    x = 7,453,717,714.08/105,988.08
  6. Step 6: Final answer
    x = 70,326

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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.