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Finding the Fourth Proportional to 133,026, 199,547.46 and 54,097.08

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Solution

The fourth proportional to 133,026, 199,547.46 and 54,097.08 is: 81,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 199,547.46 = 54,097.08 : x
  2. Step 2: Convert to fraction form
    133,026/199,547.46 = 54,097.08/x
  3. Step 3: Cross multiply
    133,026x = 199,547.46 × 54,097.08
  4. Step 4: Simplify right side
    133,026x = 10,794,934,907.42
  5. Step 5: Solve for x
    x = 10,794,934,907.42/133,026
  6. Step 6: Final answer
    x = 81,149.06

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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.