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Finding the Fourth Proportional to 260,258.22, 359,159.22 and 152,829.54

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Solution

The fourth proportional to 260,258.22, 359,159.22 and 152,829.54 is: 210,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,258.22 : 359,159.22 = 152,829.54 : x
  2. Step 2: Convert to fraction form
    260,258.22/359,159.22 = 152,829.54/x
  3. Step 3: Cross multiply
    260,258.22x = 359,159.22 × 152,829.54
  4. Step 4: Simplify right side
    260,258.22x = 54,890,138,379.36
  5. Step 5: Solve for x
    x = 54,890,138,379.36/260,258.22
  6. Step 6: Final answer
    x = 210,906.45

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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.