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Finding the Fourth Proportional to 205,152.60, 307,728.90 and 167,827.80

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Solution

The fourth proportional to 205,152.60, 307,728.90 and 167,827.80 is: 251,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.60 : 307,728.90 = 167,827.80 : x
  2. Step 2: Convert to fraction form
    205,152.60/307,728.90 = 167,827.80/x
  3. Step 3: Cross multiply
    205,152.60x = 307,728.90 × 167,827.80
  4. Step 4: Simplify right side
    205,152.60x = 51,645,464,283.42
  5. Step 5: Solve for x
    x = 51,645,464,283.42/205,152.60
  6. Step 6: Final answer
    x = 251,741.70

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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.