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Finding the Fourth Proportional to 84,204.65, 116,202.34 and 46,478.81

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Solution

The fourth proportional to 84,204.65, 116,202.34 and 46,478.81 is: 64,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,204.65 : 116,202.34 = 46,478.81 : x
  2. Step 2: Convert to fraction form
    84,204.65/116,202.34 = 46,478.81/x
  3. Step 3: Cross multiply
    84,204.65x = 116,202.34 × 46,478.81
  4. Step 4: Simplify right side
    84,204.65x = 5,400,946,482.42
  5. Step 5: Solve for x
    x = 5,400,946,482.42/84,204.65
  6. Step 6: Final answer
    x = 64,140.72

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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.