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Finding the Fourth Proportional to 243,405.40, 365,108.10 and 138,429.40

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Solution

The fourth proportional to 243,405.40, 365,108.10 and 138,429.40 is: 207,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,405.40 : 365,108.10 = 138,429.40 : x
  2. Step 2: Convert to fraction form
    243,405.40/365,108.10 = 138,429.40/x
  3. Step 3: Cross multiply
    243,405.40x = 365,108.10 × 138,429.40
  4. Step 4: Simplify right side
    243,405.40x = 50,541,695,218.14
  5. Step 5: Solve for x
    x = 50,541,695,218.14/243,405.40
  6. Step 6: Final answer
    x = 207,644.10

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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.