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Finding the Fourth Proportional to 223,059.60, 334,702.80 and 148,231.80

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Solution

The fourth proportional to 223,059.60, 334,702.80 and 148,231.80 is: 222,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,059.60 : 334,702.80 = 148,231.80 : x
  2. Step 2: Convert to fraction form
    223,059.60/334,702.80 = 148,231.80/x
  3. Step 3: Cross multiply
    223,059.60x = 334,702.80 × 148,231.80
  4. Step 4: Simplify right side
    223,059.60x = 49,613,598,509.04
  5. Step 5: Solve for x
    x = 49,613,598,509.04/223,059.60
  6. Step 6: Final answer
    x = 222,423.06

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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.