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Finding the Fourth Proportional to 312,162.40, 468,196.08 and 101,800

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Solution

The fourth proportional to 312,162.40, 468,196.08 and 101,800 is: 152,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162.40 : 468,196.08 = 101,800 : x
  2. Step 2: Convert to fraction form
    312,162.40/468,196.08 = 101,800/x
  3. Step 3: Cross multiply
    312,162.40x = 468,196.08 × 101,800
  4. Step 4: Simplify right side
    312,162.40x = 47,662,360,944
  5. Step 5: Solve for x
    x = 47,662,360,944/312,162.40
  6. Step 6: Final answer
    x = 152,684.50

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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.