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Finding the Fourth Proportional to 151,937.84, 209,554.68 and 141,752

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Solution

The fourth proportional to 151,937.84, 209,554.68 and 141,752 is: 195,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,937.84 : 209,554.68 = 141,752 : x
  2. Step 2: Convert to fraction form
    151,937.84/209,554.68 = 141,752/x
  3. Step 3: Cross multiply
    151,937.84x = 209,554.68 × 141,752
  4. Step 4: Simplify right side
    151,937.84x = 29,704,794,999.36
  5. Step 5: Solve for x
    x = 29,704,794,999.36/151,937.84
  6. Step 6: Final answer
    x = 195,506.23

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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.