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Finding the Fourth Proportional to 298,088.64, 411,364.08 and 162,123.84

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Solution

The fourth proportional to 298,088.64, 411,364.08 and 162,123.84 is: 223,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,088.64 : 411,364.08 = 162,123.84 : x
  2. Step 2: Convert to fraction form
    298,088.64/411,364.08 = 162,123.84/x
  3. Step 3: Cross multiply
    298,088.64x = 411,364.08 × 162,123.84
  4. Step 4: Simplify right side
    298,088.64x = 66,691,924,287.67
  5. Step 5: Solve for x
    x = 66,691,924,287.67/298,088.64
  6. Step 6: Final answer
    x = 223,731.85

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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.