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Finding the Fourth Proportional to 243,422.40, 365,133.60 and 176,548.80

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Solution

The fourth proportional to 243,422.40, 365,133.60 and 176,548.80 is: 264,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,422.40 : 365,133.60 = 176,548.80 : x
  2. Step 2: Convert to fraction form
    243,422.40/365,133.60 = 176,548.80/x
  3. Step 3: Cross multiply
    243,422.40x = 365,133.60 × 176,548.80
  4. Step 4: Simplify right side
    243,422.40x = 64,463,898,919.68
  5. Step 5: Solve for x
    x = 64,463,898,919.68/243,422.40
  6. Step 6: Final answer
    x = 264,823.20

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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.