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Finding the Fourth Proportional to 157,137.92, 235,744.32 and 46,329.92

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Solution

The fourth proportional to 157,137.92, 235,744.32 and 46,329.92 is: 69,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137.92 : 235,744.32 = 46,329.92 : x
  2. Step 2: Convert to fraction form
    157,137.92/235,744.32 = 46,329.92/x
  3. Step 3: Cross multiply
    157,137.92x = 235,744.32 × 46,329.92
  4. Step 4: Simplify right side
    157,137.92x = 10,922,015,486.05
  5. Step 5: Solve for x
    x = 10,922,015,486.05/157,137.92
  6. Step 6: Final answer
    x = 69,505.92

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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.