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Finding the Fourth Proportional to 146,590, 219,873.96 and 46,746.16

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Solution

The fourth proportional to 146,590, 219,873.96 and 46,746.16 is: 70,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,590 : 219,873.96 = 46,746.16 : x
  2. Step 2: Convert to fraction form
    146,590/219,873.96 = 46,746.16/x
  3. Step 3: Cross multiply
    146,590x = 219,873.96 × 46,746.16
  4. Step 4: Simplify right side
    146,590x = 10,278,263,313.99
  5. Step 5: Solve for x
    x = 10,278,263,313.99/146,590
  6. Step 6: Final answer
    x = 70,115.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.