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Finding the Fourth Proportional to 260,409.94, 359,375.91 and 152,979.03

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Solution

The fourth proportional to 260,409.94, 359,375.91 and 152,979.03 is: 211,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,409.94 : 359,375.91 = 152,979.03 : x
  2. Step 2: Convert to fraction form
    260,409.94/359,375.91 = 152,979.03/x
  3. Step 3: Cross multiply
    260,409.94x = 359,375.91 × 152,979.03
  4. Step 4: Simplify right side
    260,409.94x = 54,976,977,543.50
  5. Step 5: Solve for x
    x = 54,976,977,543.50/260,409.94
  6. Step 6: Final answer
    x = 211,117.05

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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.