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Finding the Fourth Proportional to 242,889.60, 364,246.86 and 102,659.16

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Solution

The fourth proportional to 242,889.60, 364,246.86 and 102,659.16 is: 153,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,889.60 : 364,246.86 = 102,659.16 : x
  2. Step 2: Convert to fraction form
    242,889.60/364,246.86 = 102,659.16/x
  3. Step 3: Cross multiply
    242,889.60x = 364,246.86 × 102,659.16
  4. Step 4: Simplify right side
    242,889.60x = 37,393,276,680.24
  5. Step 5: Solve for x
    x = 37,393,276,680.24/242,889.60
  6. Step 6: Final answer
    x = 153,951.74

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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.