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Finding the Fourth Proportional to 301,935.90, 453,163.05 and 133,715.10

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Solution

The fourth proportional to 301,935.90, 453,163.05 and 133,715.10 is: 200,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,935.90 : 453,163.05 = 133,715.10 : x
  2. Step 2: Convert to fraction form
    301,935.90/453,163.05 = 133,715.10/x
  3. Step 3: Cross multiply
    301,935.90x = 453,163.05 × 133,715.10
  4. Step 4: Simplify right side
    301,935.90x = 60,594,742,547.06
  5. Step 5: Solve for x
    x = 60,594,742,547.06/301,935.90
  6. Step 6: Final answer
    x = 200,687.44

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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.