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Finding the Fourth Proportional to 258,535.32, 387,803.09 and 81,056.16

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Solution

The fourth proportional to 258,535.32, 387,803.09 and 81,056.16 is: 121,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,535.32 : 387,803.09 = 81,056.16 : x
  2. Step 2: Convert to fraction form
    258,535.32/387,803.09 = 81,056.16/x
  3. Step 3: Cross multiply
    258,535.32x = 387,803.09 × 81,056.16
  4. Step 4: Simplify right side
    258,535.32x = 31,433,830,512.50
  5. Step 5: Solve for x
    x = 31,433,830,512.50/258,535.32
  6. Step 6: Final answer
    x = 121,584.28

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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.