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Finding the Fourth Proportional to 348,705.98, 523,058.98 and 99,381.50

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Solution

The fourth proportional to 348,705.98, 523,058.98 and 99,381.50 is: 149,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,705.98 : 523,058.98 = 99,381.50 : x
  2. Step 2: Convert to fraction form
    348,705.98/523,058.98 = 99,381.50/x
  3. Step 3: Cross multiply
    348,705.98x = 523,058.98 × 99,381.50
  4. Step 4: Simplify right side
    348,705.98x = 51,982,386,020.87
  5. Step 5: Solve for x
    x = 51,982,386,020.87/348,705.98
  6. Step 6: Final answer
    x = 149,072.25

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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.