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Finding the Fourth Proportional to 243,743.20, 365,830.80 and 143,778.40

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Solution

The fourth proportional to 243,743.20, 365,830.80 and 143,778.40 is: 215,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,743.20 : 365,830.80 = 143,778.40 : x
  2. Step 2: Convert to fraction form
    243,743.20/365,830.80 = 143,778.40/x
  3. Step 3: Cross multiply
    243,743.20x = 365,830.80 × 143,778.40
  4. Step 4: Simplify right side
    243,743.20x = 52,598,567,094.72
  5. Step 5: Solve for x
    x = 52,598,567,094.72/243,743.20
  6. Step 6: Final answer
    x = 215,795.01

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1.5x scale

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.