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Finding the Fourth Proportional to 152,709, 229,093.32 and 46,101.60

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Solution

The fourth proportional to 152,709, 229,093.32 and 46,101.60 is: 69,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709 : 229,093.32 = 46,101.60 : x
  2. Step 2: Convert to fraction form
    152,709/229,093.32 = 46,101.60/x
  3. Step 3: Cross multiply
    152,709x = 229,093.32 × 46,101.60
  4. Step 4: Simplify right side
    152,709x = 10,561,568,601.31
  5. Step 5: Solve for x
    x = 10,561,568,601.31/152,709
  6. Step 6: Final answer
    x = 69,161.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.