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Finding the Fourth Proportional to 152,186.18, 210,023.10 and 84,202.04

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Solution

The fourth proportional to 152,186.18, 210,023.10 and 84,202.04 is: 116,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,186.18 : 210,023.10 = 84,202.04 : x
  2. Step 2: Convert to fraction form
    152,186.18/210,023.10 = 84,202.04/x
  3. Step 3: Cross multiply
    152,186.18x = 210,023.10 × 84,202.04
  4. Step 4: Simplify right side
    152,186.18x = 17,684,373,992.18
  5. Step 5: Solve for x
    x = 17,684,373,992.18/152,186.18
  6. Step 6: Final answer
    x = 116,202.24

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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.