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Finding the Fourth Proportional to 357,225.54, 535,787.82 and 120,537.06

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Solution

The fourth proportional to 357,225.54, 535,787.82 and 120,537.06 is: 180,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,225.54 : 535,787.82 = 120,537.06 : x
  2. Step 2: Convert to fraction form
    357,225.54/535,787.82 = 120,537.06/x
  3. Step 3: Cross multiply
    357,225.54x = 535,787.82 × 120,537.06
  4. Step 4: Simplify right side
    357,225.54x = 64,582,288,606.61
  5. Step 5: Solve for x
    x = 64,582,288,606.61/357,225.54
  6. Step 6: Final answer
    x = 180,788.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.