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Finding the Fourth Proportional to 102,054.63, 153,084.83 and 28,182.63

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Solution

The fourth proportional to 102,054.63, 153,084.83 and 28,182.63 is: 42,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,054.63 : 153,084.83 = 28,182.63 : x
  2. Step 2: Convert to fraction form
    102,054.63/153,084.83 = 28,182.63/x
  3. Step 3: Cross multiply
    102,054.63x = 153,084.83 × 28,182.63
  4. Step 4: Simplify right side
    102,054.63x = 4,314,333,122.50
  5. Step 5: Solve for x
    x = 4,314,333,122.50/102,054.63
  6. Step 6: Final answer
    x = 42,274.74

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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.