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Finding the Fourth Proportional to 190,200, 262,545.12 and 110,712

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Solution

The fourth proportional to 190,200, 262,545.12 and 110,712 is: 152,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,200 : 262,545.12 = 110,712 : x
  2. Step 2: Convert to fraction form
    190,200/262,545.12 = 110,712/x
  3. Step 3: Cross multiply
    190,200x = 262,545.12 × 110,712
  4. Step 4: Simplify right side
    190,200x = 29,066,895,325.44
  5. Step 5: Solve for x
    x = 29,066,895,325.44/190,200
  6. Step 6: Final answer
    x = 152,822.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.