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Finding the Fourth Proportional to 152,114.01, 209,916 and 84,135.96

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Solution

The fourth proportional to 152,114.01, 209,916 and 84,135.96 is: 116,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,114.01 : 209,916 = 84,135.96 : x
  2. Step 2: Convert to fraction form
    152,114.01/209,916 = 84,135.96/x
  3. Step 3: Cross multiply
    152,114.01x = 209,916 × 84,135.96
  4. Step 4: Simplify right side
    152,114.01x = 17,661,484,179.36
  5. Step 5: Solve for x
    x = 17,661,484,179.36/152,114.01
  6. Step 6: Final answer
    x = 116,106.89

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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.