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Finding the Fourth Proportional to 242,820.64, 364,023.28 and 93,168.34

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Solution

The fourth proportional to 242,820.64, 364,023.28 and 93,168.34 is: 139,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,820.64 : 364,023.28 = 93,168.34 : x
  2. Step 2: Convert to fraction form
    242,820.64/364,023.28 = 93,168.34/x
  3. Step 3: Cross multiply
    242,820.64x = 364,023.28 × 93,168.34
  4. Step 4: Simplify right side
    242,820.64x = 33,915,443,575.98
  5. Step 5: Solve for x
    x = 33,915,443,575.98/242,820.64
  6. Step 6: Final answer
    x = 139,672.82

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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.