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Finding the Fourth Proportional to 228,482.55, 315,449.73 and 146,847.30

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Solution

The fourth proportional to 228,482.55, 315,449.73 and 146,847.30 is: 202,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,482.55 : 315,449.73 = 146,847.30 : x
  2. Step 2: Convert to fraction form
    228,482.55/315,449.73 = 146,847.30/x
  3. Step 3: Cross multiply
    228,482.55x = 315,449.73 × 146,847.30
  4. Step 4: Simplify right side
    228,482.55x = 46,322,941,136.23
  5. Step 5: Solve for x
    x = 46,322,941,136.23/228,482.55
  6. Step 6: Final answer
    x = 202,741.70

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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.