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Finding the Fourth Proportional to 146,608.32, 202,411.08 and 100,746.93

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Solution

The fourth proportional to 146,608.32, 202,411.08 and 100,746.93 is: 139,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,608.32 : 202,411.08 = 100,746.93 : x
  2. Step 2: Convert to fraction form
    146,608.32/202,411.08 = 100,746.93/x
  3. Step 3: Cross multiply
    146,608.32x = 202,411.08 × 100,746.93
  4. Step 4: Simplify right side
    146,608.32x = 20,392,294,907.98
  5. Step 5: Solve for x
    x = 20,392,294,907.98/146,608.32
  6. Step 6: Final answer
    x = 139,093.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.