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Finding the Fourth Proportional to 189,060, 283,636.08 and 57,732

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Solution

The fourth proportional to 189,060, 283,636.08 and 57,732 is: 86,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,060 : 283,636.08 = 57,732 : x
  2. Step 2: Convert to fraction form
    189,060/283,636.08 = 57,732/x
  3. Step 3: Cross multiply
    189,060x = 283,636.08 × 57,732
  4. Step 4: Simplify right side
    189,060x = 16,374,878,170.56
  5. Step 5: Solve for x
    x = 16,374,878,170.56/189,060
  6. Step 6: Final answer
    x = 86,612.07

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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.