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Finding the Fourth Proportional to 98,714.20, 147,901.20 and 46,015.60

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Solution

The fourth proportional to 98,714.20, 147,901.20 and 46,015.60 is: 68,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.20 : 147,901.20 = 46,015.60 : x
  2. Step 2: Convert to fraction form
    98,714.20/147,901.20 = 46,015.60/x
  3. Step 3: Cross multiply
    98,714.20x = 147,901.20 × 46,015.60
  4. Step 4: Simplify right side
    98,714.20x = 6,805,762,458.72
  5. Step 5: Solve for x
    x = 6,805,762,458.72/98,714.20
  6. Step 6: Final answer
    x = 68,944.11

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Why These Related Problems?

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