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Finding the Fourth Proportional to 157,251, 235,876.50 and 46,451.64

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Solution

The fourth proportional to 157,251, 235,876.50 and 46,451.64 is: 69,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,251 : 235,876.50 = 46,451.64 : x
  2. Step 2: Convert to fraction form
    157,251/235,876.50 = 46,451.64/x
  3. Step 3: Cross multiply
    157,251x = 235,876.50 × 46,451.64
  4. Step 4: Simplify right side
    157,251x = 10,956,850,262.46
  5. Step 5: Solve for x
    x = 10,956,850,262.46/157,251
  6. Step 6: Final answer
    x = 69,677.46

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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.