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Finding the Fourth Proportional to 102,189.96, 153,316.15 and 52,305.40

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Solution

The fourth proportional to 102,189.96, 153,316.15 and 52,305.40 is: 78,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189.96 : 153,316.15 = 52,305.40 : x
  2. Step 2: Convert to fraction form
    102,189.96/153,316.15 = 52,305.40/x
  3. Step 3: Cross multiply
    102,189.96x = 153,316.15 × 52,305.40
  4. Step 4: Simplify right side
    102,189.96x = 8,019,262,552.21
  5. Step 5: Solve for x
    x = 8,019,262,552.21/102,189.96
  6. Step 6: Final answer
    x = 78,474.07

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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.