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Finding the Fourth Proportional to 106,564.60, 159,846.90 and 89,457.40

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Solution

The fourth proportional to 106,564.60, 159,846.90 and 89,457.40 is: 134,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.60 : 159,846.90 = 89,457.40 : x
  2. Step 2: Convert to fraction form
    106,564.60/159,846.90 = 89,457.40/x
  3. Step 3: Cross multiply
    106,564.60x = 159,846.90 × 89,457.40
  4. Step 4: Simplify right side
    106,564.60x = 14,299,488,072.06
  5. Step 5: Solve for x
    x = 14,299,488,072.06/106,564.60
  6. Step 6: Final answer
    x = 134,186.10

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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.