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Finding the Fourth Proportional to 341,785, 512,662.02 and 105,117.40

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Solution

The fourth proportional to 341,785, 512,662.02 and 105,117.40 is: 157,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,785 : 512,662.02 = 105,117.40 : x
  2. Step 2: Convert to fraction form
    341,785/512,662.02 = 105,117.40/x
  3. Step 3: Cross multiply
    341,785x = 512,662.02 × 105,117.40
  4. Step 4: Simplify right side
    341,785x = 53,889,698,621.15
  5. Step 5: Solve for x
    x = 53,889,698,621.15/341,785
  6. Step 6: Final answer
    x = 157,671.34

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