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Finding the Fourth Proportional to 260,702.69, 359,776.08 and 145,980.36

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Solution

The fourth proportional to 260,702.69, 359,776.08 and 145,980.36 is: 201,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,702.69 : 359,776.08 = 145,980.36 : x
  2. Step 2: Convert to fraction form
    260,702.69/359,776.08 = 145,980.36/x
  3. Step 3: Cross multiply
    260,702.69x = 359,776.08 × 145,980.36
  4. Step 4: Simplify right side
    260,702.69x = 52,520,241,677.79
  5. Step 5: Solve for x
    x = 52,520,241,677.79/260,702.69
  6. Step 6: Final answer
    x = 201,456.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.