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Finding the Fourth Proportional to 243,257.60, 364,011.60 and 164,525.60

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Solution

The fourth proportional to 243,257.60, 364,011.60 and 164,525.60 is: 246,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,257.60 : 364,011.60 = 164,525.60 : x
  2. Step 2: Convert to fraction form
    243,257.60/364,011.60 = 164,525.60/x
  3. Step 3: Cross multiply
    243,257.60x = 364,011.60 × 164,525.60
  4. Step 4: Simplify right side
    243,257.60x = 59,889,226,896.96
  5. Step 5: Solve for x
    x = 59,889,226,896.96/243,257.60
  6. Step 6: Final answer
    x = 246,196.74

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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.