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Finding the Fourth Proportional to 152,773, 229,165.71 and 72,769.84

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Solution

The fourth proportional to 152,773, 229,165.71 and 72,769.84 is: 109,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,773 : 229,165.71 = 72,769.84 : x
  2. Step 2: Convert to fraction form
    152,773/229,165.71 = 72,769.84/x
  3. Step 3: Cross multiply
    152,773x = 229,165.71 × 72,769.84
  4. Step 4: Simplify right side
    152,773x = 16,676,352,050.19
  5. Step 5: Solve for x
    x = 16,676,352,050.19/152,773
  6. Step 6: Final answer
    x = 109,157.72

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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.