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Finding the Fourth Proportional to 265,236, 366,026.40 and 146,004

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Solution

The fourth proportional to 265,236, 366,026.40 and 146,004 is: 201,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,236 : 366,026.40 = 146,004 : x
  2. Step 2: Convert to fraction form
    265,236/366,026.40 = 146,004/x
  3. Step 3: Cross multiply
    265,236x = 366,026.40 × 146,004
  4. Step 4: Simplify right side
    265,236x = 53,441,318,505.60
  5. Step 5: Solve for x
    x = 53,441,318,505.60/265,236
  6. Step 6: Final answer
    x = 201,485.92

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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.