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Finding the Fourth Proportional to 154,937.40, 232,406.10 and 148,376.40

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Solution

The fourth proportional to 154,937.40, 232,406.10 and 148,376.40 is: 222,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,937.40 : 232,406.10 = 148,376.40 : x
  2. Step 2: Convert to fraction form
    154,937.40/232,406.10 = 148,376.40/x
  3. Step 3: Cross multiply
    154,937.40x = 232,406.10 × 148,376.40
  4. Step 4: Simplify right side
    154,937.40x = 34,483,580,456.04
  5. Step 5: Solve for x
    x = 34,483,580,456.04/154,937.40
  6. Step 6: Final answer
    x = 222,564.60

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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.