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Finding the Fourth Proportional to 194,528.84, 291,683.82 and 61,384.28

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Solution

The fourth proportional to 194,528.84, 291,683.82 and 61,384.28 is: 92,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,528.84 : 291,683.82 = 61,384.28 : x
  2. Step 2: Convert to fraction form
    194,528.84/291,683.82 = 61,384.28/x
  3. Step 3: Cross multiply
    194,528.84x = 291,683.82 × 61,384.28
  4. Step 4: Simplify right side
    194,528.84x = 17,904,801,278.35
  5. Step 5: Solve for x
    x = 17,904,801,278.35/194,528.84
  6. Step 6: Final answer
    x = 92,041.89

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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.