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Finding the Fourth Proportional to 341,855.23, 512,831.45 and 105,217.63

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Solution

The fourth proportional to 341,855.23, 512,831.45 and 105,217.63 is: 157,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,855.23 : 512,831.45 = 105,217.63 : x
  2. Step 2: Convert to fraction form
    341,855.23/512,831.45 = 105,217.63/x
  3. Step 3: Cross multiply
    341,855.23x = 512,831.45 × 105,217.63
  4. Step 4: Simplify right side
    341,855.23x = 53,958,909,232.38
  5. Step 5: Solve for x
    x = 53,958,909,232.38/341,855.23
  6. Step 6: Final answer
    x = 157,841.40

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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.