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Finding the Fourth Proportional to 202,210.71, 303,317.28 and 89,864.52

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Solution

The fourth proportional to 202,210.71, 303,317.28 and 89,864.52 is: 134,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,210.71 : 303,317.28 = 89,864.52 : x
  2. Step 2: Convert to fraction form
    202,210.71/303,317.28 = 89,864.52/x
  3. Step 3: Cross multiply
    202,210.71x = 303,317.28 × 89,864.52
  4. Step 4: Simplify right side
    202,210.71x = 27,257,461,774.91
  5. Step 5: Solve for x
    x = 27,257,461,774.91/202,210.71
  6. Step 6: Final answer
    x = 134,797.32

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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.