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Finding the Fourth Proportional to 468,502, 702,772.44 and 136,078

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Solution

The fourth proportional to 468,502, 702,772.44 and 136,078 is: 204,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,502 : 702,772.44 = 136,078 : x
  2. Step 2: Convert to fraction form
    468,502/702,772.44 = 136,078/x
  3. Step 3: Cross multiply
    468,502x = 702,772.44 × 136,078
  4. Step 4: Simplify right side
    468,502x = 95,631,868,090.32
  5. Step 5: Solve for x
    x = 95,631,868,090.32/468,502
  6. Step 6: Final answer
    x = 204,122.65

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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.