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Finding the Fourth Proportional to 175,933, 242,787.54 and 96,445

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Solution

The fourth proportional to 175,933, 242,787.54 and 96,445 is: 133,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,933 : 242,787.54 = 96,445 : x
  2. Step 2: Convert to fraction form
    175,933/242,787.54 = 96,445/x
  3. Step 3: Cross multiply
    175,933x = 242,787.54 × 96,445
  4. Step 4: Simplify right side
    175,933x = 23,415,644,295.30
  5. Step 5: Solve for x
    x = 23,415,644,295.30/175,933
  6. Step 6: Final answer
    x = 133,094.10

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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.