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Finding the Fourth Proportional to 341,105.71, 511,509.93 and 97,893.22

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Solution

The fourth proportional to 341,105.71, 511,509.93 and 97,893.22 is: 146,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,105.71 : 511,509.93 = 97,893.22 : x
  2. Step 2: Convert to fraction form
    341,105.71/511,509.93 = 97,893.22/x
  3. Step 3: Cross multiply
    341,105.71x = 511,509.93 × 97,893.22
  4. Step 4: Simplify right side
    341,105.71x = 50,073,354,109.67
  5. Step 5: Solve for x
    x = 50,073,354,109.67/341,105.71
  6. Step 6: Final answer
    x = 146,797.17

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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.