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Finding the Fourth Proportional to 242,710.36, 364,182.90 and 98,612.44

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Solution

The fourth proportional to 242,710.36, 364,182.90 and 98,612.44 is: 147,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,710.36 : 364,182.90 = 98,612.44 : x
  2. Step 2: Convert to fraction form
    242,710.36/364,182.90 = 98,612.44/x
  3. Step 3: Cross multiply
    242,710.36x = 364,182.90 × 98,612.44
  4. Step 4: Simplify right side
    242,710.36x = 35,912,964,375.28
  5. Step 5: Solve for x
    x = 35,912,964,375.28/242,710.36
  6. Step 6: Final answer
    x = 147,966.34

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1.5x scale

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.