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Finding the Fourth Proportional to 228,437.25, 315,199.67 and 147,853.59

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Solution

The fourth proportional to 228,437.25, 315,199.67 and 147,853.59 is: 204,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,437.25 : 315,199.67 = 147,853.59 : x
  2. Step 2: Convert to fraction form
    228,437.25/315,199.67 = 147,853.59/x
  3. Step 3: Cross multiply
    228,437.25x = 315,199.67 × 147,853.59
  4. Step 4: Simplify right side
    228,437.25x = 46,603,402,037.05
  5. Step 5: Solve for x
    x = 46,603,402,037.05/228,437.25
  6. Step 6: Final answer
    x = 204,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.