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Finding the Fourth Proportional to 157,629, 236,443.50 and 46,821

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Solution

The fourth proportional to 157,629, 236,443.50 and 46,821 is: 70,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,629 : 236,443.50 = 46,821 : x
  2. Step 2: Convert to fraction form
    157,629/236,443.50 = 46,821/x
  3. Step 3: Cross multiply
    157,629x = 236,443.50 × 46,821
  4. Step 4: Simplify right side
    157,629x = 11,070,521,113.50
  5. Step 5: Solve for x
    x = 11,070,521,113.50/157,629
  6. Step 6: Final answer
    x = 70,231.50

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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.