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Finding the Fourth Proportional to 154,907.80, 232,394.10 and 49,737.40

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Solution

The fourth proportional to 154,907.80, 232,394.10 and 49,737.40 is: 74,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,907.80 : 232,394.10 = 49,737.40 : x
  2. Step 2: Convert to fraction form
    154,907.80/232,394.10 = 49,737.40/x
  3. Step 3: Cross multiply
    154,907.80x = 232,394.10 × 49,737.40
  4. Step 4: Simplify right side
    154,907.80x = 11,558,678,309.34
  5. Step 5: Solve for x
    x = 11,558,678,309.34/154,907.80
  6. Step 6: Final answer
    x = 74,616.50

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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.