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Finding the Fourth Proportional to 265,451, 366,322.40 and 146,219

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Solution

The fourth proportional to 265,451, 366,322.40 and 146,219 is: 201,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,451 : 366,322.40 = 146,219 : x
  2. Step 2: Convert to fraction form
    265,451/366,322.40 = 146,219/x
  3. Step 3: Cross multiply
    265,451x = 366,322.40 × 146,219
  4. Step 4: Simplify right side
    265,451x = 53,563,295,005.60
  5. Step 5: Solve for x
    x = 53,563,295,005.60/265,451
  6. Step 6: Final answer
    x = 201,782.23

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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.