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Finding the Fourth Proportional to 312,166.40, 468,202.08 and 101,804

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Solution

The fourth proportional to 312,166.40, 468,202.08 and 101,804 is: 152,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,166.40 : 468,202.08 = 101,804 : x
  2. Step 2: Convert to fraction form
    312,166.40/468,202.08 = 101,804/x
  3. Step 3: Cross multiply
    312,166.40x = 468,202.08 × 101,804
  4. Step 4: Simplify right side
    312,166.40x = 47,664,844,552.32
  5. Step 5: Solve for x
    x = 47,664,844,552.32/312,166.40
  6. Step 6: Final answer
    x = 152,690.50

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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.