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Finding the Fourth Proportional to 102,025, 153,046.32 and 28,153

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Solution

The fourth proportional to 102,025, 153,046.32 and 28,153 is: 42,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,025 : 153,046.32 = 28,153 : x
  2. Step 2: Convert to fraction form
    102,025/153,046.32 = 28,153/x
  3. Step 3: Cross multiply
    102,025x = 153,046.32 × 28,153
  4. Step 4: Simplify right side
    102,025x = 4,308,713,046.96
  5. Step 5: Solve for x
    x = 4,308,713,046.96/102,025
  6. Step 6: Final answer
    x = 42,231.93

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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.