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Finding the Fourth Proportional to 102,250.77, 153,381.69 and 31,168.01

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Solution

The fourth proportional to 102,250.77, 153,381.69 and 31,168.01 is: 46,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,250.77 : 153,381.69 = 31,168.01 : x
  2. Step 2: Convert to fraction form
    102,250.77/153,381.69 = 31,168.01/x
  3. Step 3: Cross multiply
    102,250.77x = 153,381.69 × 31,168.01
  4. Step 4: Simplify right side
    102,250.77x = 4,780,601,280.83
  5. Step 5: Solve for x
    x = 4,780,601,280.83/102,250.77
  6. Step 6: Final answer
    x = 46,753.69

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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.