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Finding the Fourth Proportional to 170,823.40, 256,235.10 and 163,047.40

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Solution

The fourth proportional to 170,823.40, 256,235.10 and 163,047.40 is: 244,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,823.40 : 256,235.10 = 163,047.40 : x
  2. Step 2: Convert to fraction form
    170,823.40/256,235.10 = 163,047.40/x
  3. Step 3: Cross multiply
    170,823.40x = 256,235.10 × 163,047.40
  4. Step 4: Simplify right side
    170,823.40x = 41,778,466,843.74
  5. Step 5: Solve for x
    x = 41,778,466,843.74/170,823.40
  6. Step 6: Final answer
    x = 244,571.10

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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.