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Finding the Fourth Proportional to 149,934.04, 224,674.16 and 65,647.06

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Solution

The fourth proportional to 149,934.04, 224,674.16 and 65,647.06 is: 98,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,934.04 : 224,674.16 = 65,647.06 : x
  2. Step 2: Convert to fraction form
    149,934.04/224,674.16 = 65,647.06/x
  3. Step 3: Cross multiply
    149,934.04x = 224,674.16 × 65,647.06
  4. Step 4: Simplify right side
    149,934.04x = 14,749,197,172.05
  5. Step 5: Solve for x
    x = 14,749,197,172.05/149,934.04
  6. Step 6: Final answer
    x = 98,371.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.