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Finding the Fourth Proportional to 171,347.20, 257,020.80 and 152,684.80

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Solution

The fourth proportional to 171,347.20, 257,020.80 and 152,684.80 is: 229,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,347.20 : 257,020.80 = 152,684.80 : x
  2. Step 2: Convert to fraction form
    171,347.20/257,020.80 = 152,684.80/x
  3. Step 3: Cross multiply
    171,347.20x = 257,020.80 × 152,684.80
  4. Step 4: Simplify right side
    171,347.20x = 39,243,169,443.84
  5. Step 5: Solve for x
    x = 39,243,169,443.84/171,347.20
  6. Step 6: Final answer
    x = 229,027.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.