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Finding the Fourth Proportional to 242,223, 334,267.74 and 136,239

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Solution

The fourth proportional to 242,223, 334,267.74 and 136,239 is: 188,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,223 : 334,267.74 = 136,239 : x
  2. Step 2: Convert to fraction form
    242,223/334,267.74 = 136,239/x
  3. Step 3: Cross multiply
    242,223x = 334,267.74 × 136,239
  4. Step 4: Simplify right side
    242,223x = 45,540,302,629.86
  5. Step 5: Solve for x
    x = 45,540,302,629.86/242,223
  6. Step 6: Final answer
    x = 188,009.82

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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.