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Finding the Fourth Proportional to 157,746, 236,620.62 and 46,938

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Solution

The fourth proportional to 157,746, 236,620.62 and 46,938 is: 70,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,746 : 236,620.62 = 46,938 : x
  2. Step 2: Convert to fraction form
    157,746/236,620.62 = 46,938/x
  3. Step 3: Cross multiply
    157,746x = 236,620.62 × 46,938
  4. Step 4: Simplify right side
    157,746x = 11,106,498,661.56
  5. Step 5: Solve for x
    x = 11,106,498,661.56/157,746
  6. Step 6: Final answer
    x = 70,407.48

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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.