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Finding the Fourth Proportional to 260,702.25, 359,685.45 and 145,963.98

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Solution

The fourth proportional to 260,702.25, 359,685.45 and 145,963.98 is: 201,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,702.25 : 359,685.45 = 145,963.98 : x
  2. Step 2: Convert to fraction form
    260,702.25/359,685.45 = 145,963.98/x
  3. Step 3: Cross multiply
    260,702.25x = 359,685.45 × 145,963.98
  4. Step 4: Simplify right side
    260,702.25x = 52,501,119,830.09
  5. Step 5: Solve for x
    x = 52,501,119,830.09/260,702.25
  6. Step 6: Final answer
    x = 201,383.45

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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.