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Finding the Fourth Proportional to 152,854.20, 229,313.70 and 46,229.40

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Solution

The fourth proportional to 152,854.20, 229,313.70 and 46,229.40 is: 69,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,854.20 : 229,313.70 = 46,229.40 : x
  2. Step 2: Convert to fraction form
    152,854.20/229,313.70 = 46,229.40/x
  3. Step 3: Cross multiply
    152,854.20x = 229,313.70 × 46,229.40
  4. Step 4: Simplify right side
    152,854.20x = 10,601,034,762.78
  5. Step 5: Solve for x
    x = 10,601,034,762.78/152,854.20
  6. Step 6: Final answer
    x = 69,353.90

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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.