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Finding the Fourth Proportional to 243,424.80, 365,137.20 and 85,831.20

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Solution

The fourth proportional to 243,424.80, 365,137.20 and 85,831.20 is: 128,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,424.80 : 365,137.20 = 85,831.20 : x
  2. Step 2: Convert to fraction form
    243,424.80/365,137.20 = 85,831.20/x
  3. Step 3: Cross multiply
    243,424.80x = 365,137.20 × 85,831.20
  4. Step 4: Simplify right side
    243,424.80x = 31,340,164,040.64
  5. Step 5: Solve for x
    x = 31,340,164,040.64/243,424.80
  6. Step 6: Final answer
    x = 128,746.80

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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.