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Finding the Fourth Proportional to 152,411.84, 228,765.32 and 73,581.40

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Solution

The fourth proportional to 152,411.84, 228,765.32 and 73,581.40 is: 110,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,411.84 : 228,765.32 = 73,581.40 : x
  2. Step 2: Convert to fraction form
    152,411.84/228,765.32 = 73,581.40/x
  3. Step 3: Cross multiply
    152,411.84x = 228,765.32 × 73,581.40
  4. Step 4: Simplify right side
    152,411.84x = 16,832,872,517.05
  5. Step 5: Solve for x
    x = 16,832,872,517.05/152,411.84
  6. Step 6: Final answer
    x = 110,443.34

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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.