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Finding the Fourth Proportional to 285,145.06, 393,598.50 and 164,334.58

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Solution

The fourth proportional to 285,145.06, 393,598.50 and 164,334.58 is: 226,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,145.06 : 393,598.50 = 164,334.58 : x
  2. Step 2: Convert to fraction form
    285,145.06/393,598.50 = 164,334.58/x
  3. Step 3: Cross multiply
    285,145.06x = 393,598.50 × 164,334.58
  4. Step 4: Simplify right side
    285,145.06x = 64,681,844,186.13
  5. Step 5: Solve for x
    x = 64,681,844,186.13/285,145.06
  6. Step 6: Final answer
    x = 226,838.38

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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.