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Finding the Fourth Proportional to 242,085, 334,077.30 and 136,101

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Solution

The fourth proportional to 242,085, 334,077.30 and 136,101 is: 187,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,085 : 334,077.30 = 136,101 : x
  2. Step 2: Convert to fraction form
    242,085/334,077.30 = 136,101/x
  3. Step 3: Cross multiply
    242,085x = 334,077.30 × 136,101
  4. Step 4: Simplify right side
    242,085x = 45,468,254,607.30
  5. Step 5: Solve for x
    x = 45,468,254,607.30/242,085
  6. Step 6: Final answer
    x = 187,819.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.