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Finding the Fourth Proportional to 260,529.90, 359,569.92 and 165,045.48

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Solution

The fourth proportional to 260,529.90, 359,569.92 and 165,045.48 is: 227,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,529.90 : 359,569.92 = 165,045.48 : x
  2. Step 2: Convert to fraction form
    260,529.90/359,569.92 = 165,045.48/x
  3. Step 3: Cross multiply
    260,529.90x = 359,569.92 × 165,045.48
  4. Step 4: Simplify right side
    260,529.90x = 59,345,390,039.96
  5. Step 5: Solve for x
    x = 59,345,390,039.96/260,529.90
  6. Step 6: Final answer
    x = 227,787.25

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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.