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Finding the Fourth Proportional to 154,463.40, 232,040.70 and 148,165.80

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Solution

The fourth proportional to 154,463.40, 232,040.70 and 148,165.80 is: 222,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,463.40 : 232,040.70 = 148,165.80 : x
  2. Step 2: Convert to fraction form
    154,463.40/232,040.70 = 148,165.80/x
  3. Step 3: Cross multiply
    154,463.40x = 232,040.70 × 148,165.80
  4. Step 4: Simplify right side
    154,463.40x = 34,380,495,948.06
  5. Step 5: Solve for x
    x = 34,380,495,948.06/154,463.40
  6. Step 6: Final answer
    x = 222,580.21

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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.