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Finding the Fourth Proportional to 309,256.16, 463,896.50 and 147,111.26

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Solution

The fourth proportional to 309,256.16, 463,896.50 and 147,111.26 is: 220,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,256.16 : 463,896.50 = 147,111.26 : x
  2. Step 2: Convert to fraction form
    309,256.16/463,896.50 = 147,111.26/x
  3. Step 3: Cross multiply
    309,256.16x = 463,896.50 × 147,111.26
  4. Step 4: Simplify right side
    309,256.16x = 68,244,399,048.77
  5. Step 5: Solve for x
    x = 68,244,399,048.77/309,256.16
  6. Step 6: Final answer
    x = 220,672.72

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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.