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Finding the Fourth Proportional to 119,133.47, 178,734.83 and 48,019.32

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Solution

The fourth proportional to 119,133.47, 178,734.83 and 48,019.32 is: 72,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,133.47 : 178,734.83 = 48,019.32 : x
  2. Step 2: Convert to fraction form
    119,133.47/178,734.83 = 48,019.32/x
  3. Step 3: Cross multiply
    119,133.47x = 178,734.83 × 48,019.32
  4. Step 4: Simplify right side
    119,133.47x = 8,582,724,756.82
  5. Step 5: Solve for x
    x = 8,582,724,756.82/119,133.47
  6. Step 6: Final answer
    x = 72,042.94

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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.