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Finding the Fourth Proportional to 341,814.36, 512,722.80 and 105,155.40

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Solution

The fourth proportional to 341,814.36, 512,722.80 and 105,155.40 is: 157,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,814.36 : 512,722.80 = 105,155.40 : x
  2. Step 2: Convert to fraction form
    341,814.36/512,722.80 = 105,155.40/x
  3. Step 3: Cross multiply
    341,814.36x = 512,722.80 × 105,155.40
  4. Step 4: Simplify right side
    341,814.36x = 53,915,571,123.12
  5. Step 5: Solve for x
    x = 53,915,571,123.12/341,814.36
  6. Step 6: Final answer
    x = 157,733.49

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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.