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Finding the Fourth Proportional to 265,600, 366,528 and 146,368

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Solution

The fourth proportional to 265,600, 366,528 and 146,368 is: 201,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,600 : 366,528 = 146,368 : x
  2. Step 2: Convert to fraction form
    265,600/366,528 = 146,368/x
  3. Step 3: Cross multiply
    265,600x = 366,528 × 146,368
  4. Step 4: Simplify right side
    265,600x = 53,647,970,304
  5. Step 5: Solve for x
    x = 53,647,970,304/265,600
  6. Step 6: Final answer
    x = 201,987.84

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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.