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Finding the Fourth Proportional to 150,054.48, 224,831.81 and 105,587.80

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Solution

The fourth proportional to 150,054.48, 224,831.81 and 105,587.80 is: 158,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,054.48 : 224,831.81 = 105,587.80 : x
  2. Step 2: Convert to fraction form
    150,054.48/224,831.81 = 105,587.80/x
  3. Step 3: Cross multiply
    150,054.48x = 224,831.81 × 105,587.80
  4. Step 4: Simplify right side
    150,054.48x = 23,739,496,857.52
  5. Step 5: Solve for x
    x = 23,739,496,857.52/150,054.48
  6. Step 6: Final answer
    x = 158,205.85

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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.