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Finding the Fourth Proportional to 140,551.21, 210,896.06 and 65,676.53

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Solution

The fourth proportional to 140,551.21, 210,896.06 and 65,676.53 is: 98,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,551.21 : 210,896.06 = 65,676.53 : x
  2. Step 2: Convert to fraction form
    140,551.21/210,896.06 = 65,676.53/x
  3. Step 3: Cross multiply
    140,551.21x = 210,896.06 × 65,676.53
  4. Step 4: Simplify right side
    140,551.21x = 13,850,920,356.99
  5. Step 5: Solve for x
    x = 13,850,920,356.99/140,551.21
  6. Step 6: Final answer
    x = 98,547.15

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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.