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Finding the Fourth Proportional to 232,052.84, 348,178.51 and 97,148.43

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Solution

The fourth proportional to 232,052.84, 348,178.51 and 97,148.43 is: 145,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,052.84 : 348,178.51 = 97,148.43 : x
  2. Step 2: Convert to fraction form
    232,052.84/348,178.51 = 97,148.43/x
  3. Step 3: Cross multiply
    232,052.84x = 348,178.51 × 97,148.43
  4. Step 4: Simplify right side
    232,052.84x = 33,824,995,864.29
  5. Step 5: Solve for x
    x = 33,824,995,864.29/232,052.84
  6. Step 6: Final answer
    x = 145,764.20

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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.