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Finding the Fourth Proportional to 116,688.50, 175,058.67 and 42,816.50

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Solution

The fourth proportional to 116,688.50, 175,058.67 and 42,816.50 is: 64,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,688.50 : 175,058.67 = 42,816.50 : x
  2. Step 2: Convert to fraction form
    116,688.50/175,058.67 = 42,816.50/x
  3. Step 3: Cross multiply
    116,688.50x = 175,058.67 × 42,816.50
  4. Step 4: Simplify right side
    116,688.50x = 7,495,399,544.06
  5. Step 5: Solve for x
    x = 7,495,399,544.06/116,688.50
  6. Step 6: Final answer
    x = 64,234.26

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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.