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Finding the Fourth Proportional to 195,537.84, 293,354.76 and 62,418

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Solution

The fourth proportional to 195,537.84, 293,354.76 and 62,418 is: 93,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,537.84 : 293,354.76 = 62,418 : x
  2. Step 2: Convert to fraction form
    195,537.84/293,354.76 = 62,418/x
  3. Step 3: Cross multiply
    195,537.84x = 293,354.76 × 62,418
  4. Step 4: Simplify right side
    195,537.84x = 18,310,617,409.68
  5. Step 5: Solve for x
    x = 18,310,617,409.68/195,537.84
  6. Step 6: Final answer
    x = 93,642.32

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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.