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Finding the Fourth Proportional to 204,094.10, 306,141.15 and 204,094.10

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Solution

The fourth proportional to 204,094.10, 306,141.15 and 204,094.10 is: 306,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,094.10 : 306,141.15 = 204,094.10 : x
  2. Step 2: Convert to fraction form
    204,094.10/306,141.15 = 204,094.10/x
  3. Step 3: Cross multiply
    204,094.10x = 306,141.15 × 204,094.10
  4. Step 4: Simplify right side
    204,094.10x = 62,481,602,482.22
  5. Step 5: Solve for x
    x = 62,481,602,482.22/204,094.10
  6. Step 6: Final answer
    x = 306,141.15

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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.