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Finding the Fourth Proportional to 242,156, 334,175.44 and 141,554.72

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Solution

The fourth proportional to 242,156, 334,175.44 and 141,554.72 is: 195,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,156 : 334,175.44 = 141,554.72 : x
  2. Step 2: Convert to fraction form
    242,156/334,175.44 = 141,554.72/x
  3. Step 3: Cross multiply
    242,156x = 334,175.44 × 141,554.72
  4. Step 4: Simplify right side
    242,156x = 47,304,110,840.08
  5. Step 5: Solve for x
    x = 47,304,110,840.08/242,156
  6. Step 6: Final answer
    x = 195,345.61

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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.