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Finding the Fourth Proportional to 64,206.40, 89,714 and 64,206.40

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Solution

The fourth proportional to 64,206.40, 89,714 and 64,206.40 is: 89,714

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.40 : 89,714 = 64,206.40 : x
  2. Step 2: Convert to fraction form
    64,206.40/89,714 = 64,206.40/x
  3. Step 3: Cross multiply
    64,206.40x = 89,714 × 64,206.40
  4. Step 4: Simplify right side
    64,206.40x = 5,760,212,969.60
  5. Step 5: Solve for x
    x = 5,760,212,969.60/64,206.40
  6. Step 6: Final answer
    x = 89,714

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.