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Finding the Fourth Proportional to 189,531, 284,297.94 and 64,873.08

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Solution

The fourth proportional to 189,531, 284,297.94 and 64,873.08 is: 97,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,531 : 284,297.94 = 64,873.08 : x
  2. Step 2: Convert to fraction form
    189,531/284,297.94 = 64,873.08/x
  3. Step 3: Cross multiply
    189,531x = 284,297.94 × 64,873.08
  4. Step 4: Simplify right side
    189,531x = 18,443,283,005.46
  5. Step 5: Solve for x
    x = 18,443,283,005.46/189,531
  6. Step 6: Final answer
    x = 97,310.11

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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.