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Finding the Fourth Proportional to 242,076, 334,064.88 and 136,092

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Solution

The fourth proportional to 242,076, 334,064.88 and 136,092 is: 187,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,076 : 334,064.88 = 136,092 : x
  2. Step 2: Convert to fraction form
    242,076/334,064.88 = 136,092/x
  3. Step 3: Cross multiply
    242,076x = 334,064.88 × 136,092
  4. Step 4: Simplify right side
    242,076x = 45,463,557,648.96
  5. Step 5: Solve for x
    x = 45,463,557,648.96/242,076
  6. Step 6: Final answer
    x = 187,806.96

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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.