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Finding the Fourth Proportional to 259,108.50, 357,659.22 and 151,713.06

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Solution

The fourth proportional to 259,108.50, 357,659.22 and 151,713.06 is: 209,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,108.50 : 357,659.22 = 151,713.06 : x
  2. Step 2: Convert to fraction form
    259,108.50/357,659.22 = 151,713.06/x
  3. Step 3: Cross multiply
    259,108.50x = 357,659.22 × 151,713.06
  4. Step 4: Simplify right side
    259,108.50x = 54,261,574,703.41
  5. Step 5: Solve for x
    x = 54,261,574,703.41/259,108.50
  6. Step 6: Final answer
    x = 209,416.42

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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.