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Finding the Fourth Proportional to 260,421.94, 359,392.50 and 152,991.03

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Solution

The fourth proportional to 260,421.94, 359,392.50 and 152,991.03 is: 211,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,421.94 : 359,392.50 = 152,991.03 : x
  2. Step 2: Convert to fraction form
    260,421.94/359,392.50 = 152,991.03/x
  3. Step 3: Cross multiply
    260,421.94x = 359,392.50 × 152,991.03
  4. Step 4: Simplify right side
    260,421.94x = 54,983,828,749.28
  5. Step 5: Solve for x
    x = 54,983,828,749.28/260,421.94
  6. Step 6: Final answer
    x = 211,133.63

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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.