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Finding the Fourth Proportional to 258,232.96, 356,404.08 and 150,802.12

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Solution

The fourth proportional to 258,232.96, 356,404.08 and 150,802.12 is: 208,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,232.96 : 356,404.08 = 150,802.12 : x
  2. Step 2: Convert to fraction form
    258,232.96/356,404.08 = 150,802.12/x
  3. Step 3: Cross multiply
    258,232.96x = 356,404.08 × 150,802.12
  4. Step 4: Simplify right side
    258,232.96x = 53,746,490,840.65
  5. Step 5: Solve for x
    x = 53,746,490,840.65/258,232.96
  6. Step 6: Final answer
    x = 208,131.80

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1.5x scale

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.