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Finding the Fourth Proportional to 170,144, 255,218.16 and 59,336

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Solution

The fourth proportional to 170,144, 255,218.16 and 59,336 is: 89,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,144 : 255,218.16 = 59,336 : x
  2. Step 2: Convert to fraction form
    170,144/255,218.16 = 59,336/x
  3. Step 3: Cross multiply
    170,144x = 255,218.16 × 59,336
  4. Step 4: Simplify right side
    170,144x = 15,143,624,741.76
  5. Step 5: Solve for x
    x = 15,143,624,741.76/170,144
  6. Step 6: Final answer
    x = 89,004.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.