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Finding the Fourth Proportional to 243,281.10, 364,046.85 and 164,549.10

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Solution

The fourth proportional to 243,281.10, 364,046.85 and 164,549.10 is: 246,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,281.10 : 364,046.85 = 164,549.10 : x
  2. Step 2: Convert to fraction form
    243,281.10/364,046.85 = 164,549.10/x
  3. Step 3: Cross multiply
    243,281.10x = 364,046.85 × 164,549.10
  4. Step 4: Simplify right side
    243,281.10x = 59,903,581,525.34
  5. Step 5: Solve for x
    x = 59,903,581,525.34/243,281.10
  6. Step 6: Final answer
    x = 246,231.96

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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.