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Finding the Fourth Proportional to 193,792.65, 290,356.80 and 153,934.58

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Solution

The fourth proportional to 193,792.65, 290,356.80 and 153,934.58 is: 230,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,792.65 : 290,356.80 = 153,934.58 : x
  2. Step 2: Convert to fraction form
    193,792.65/290,356.80 = 153,934.58/x
  3. Step 3: Cross multiply
    193,792.65x = 290,356.80 × 153,934.58
  4. Step 4: Simplify right side
    193,792.65x = 44,695,950,606.36
  5. Step 5: Solve for x
    x = 44,695,950,606.36/193,792.65
  6. Step 6: Final answer
    x = 230,638.01

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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.