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Finding the Fourth Proportional to 200,333.40, 299,916.90 and 194,501.40

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Solution

The fourth proportional to 200,333.40, 299,916.90 and 194,501.40 is: 291,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,333.40 : 299,916.90 = 194,501.40 : x
  2. Step 2: Convert to fraction form
    200,333.40/299,916.90 = 194,501.40/x
  3. Step 3: Cross multiply
    200,333.40x = 299,916.90 × 194,501.40
  4. Step 4: Simplify right side
    200,333.40x = 58,334,256,933.66
  5. Step 5: Solve for x
    x = 58,334,256,933.66/200,333.40
  6. Step 6: Final answer
    x = 291,185.88

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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.