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Finding the Fourth Proportional to 508,803, 763,256.75 and 134,826

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Solution

The fourth proportional to 508,803, 763,256.75 and 134,826 is: 202,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,803 : 763,256.75 = 134,826 : x
  2. Step 2: Convert to fraction form
    508,803/763,256.75 = 134,826/x
  3. Step 3: Cross multiply
    508,803x = 763,256.75 × 134,826
  4. Step 4: Simplify right side
    508,803x = 102,906,853,901.37
  5. Step 5: Solve for x
    x = 102,906,853,901.37/508,803
  6. Step 6: Final answer
    x = 202,252.84

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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.