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Finding the Fourth Proportional to 176,683.14, 243,902.34 and 116,285.49

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Solution

The fourth proportional to 176,683.14, 243,902.34 and 116,285.49 is: 160,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,683.14 : 243,902.34 = 116,285.49 : x
  2. Step 2: Convert to fraction form
    176,683.14/243,902.34 = 116,285.49/x
  3. Step 3: Cross multiply
    176,683.14x = 243,902.34 × 116,285.49
  4. Step 4: Simplify right side
    176,683.14x = 28,362,303,119.05
  5. Step 5: Solve for x
    x = 28,362,303,119.05/176,683.14
  6. Step 6: Final answer
    x = 160,526.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.