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Finding the Fourth Proportional to 230,943.40, 346,463.70 and 97,755.10

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Solution

The fourth proportional to 230,943.40, 346,463.70 and 97,755.10 is: 146,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,943.40 : 346,463.70 = 97,755.10 : x
  2. Step 2: Convert to fraction form
    230,943.40/346,463.70 = 97,755.10/x
  3. Step 3: Cross multiply
    230,943.40x = 346,463.70 × 97,755.10
  4. Step 4: Simplify right side
    230,943.40x = 33,868,593,639.87
  5. Step 5: Solve for x
    x = 33,868,593,639.87/230,943.40
  6. Step 6: Final answer
    x = 146,653.22

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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.