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Finding the Fourth Proportional to 210,901.60, 315,891.60 and 163,784.80

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Solution

The fourth proportional to 210,901.60, 315,891.60 and 163,784.80 is: 245,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,901.60 : 315,891.60 = 163,784.80 : x
  2. Step 2: Convert to fraction form
    210,901.60/315,891.60 = 163,784.80/x
  3. Step 3: Cross multiply
    210,901.60x = 315,891.60 × 163,784.80
  4. Step 4: Simplify right side
    210,901.60x = 51,738,242,527.68
  5. Step 5: Solve for x
    x = 51,738,242,527.68/210,901.60
  6. Step 6: Final answer
    x = 245,319.35

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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.