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Finding the Fourth Proportional to 109,738.60, 164,607.90 and 97,491.40

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Solution

The fourth proportional to 109,738.60, 164,607.90 and 97,491.40 is: 146,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,738.60 : 164,607.90 = 97,491.40 : x
  2. Step 2: Convert to fraction form
    109,738.60/164,607.90 = 97,491.40/x
  3. Step 3: Cross multiply
    109,738.60x = 164,607.90 × 97,491.40
  4. Step 4: Simplify right side
    109,738.60x = 16,047,854,622.06
  5. Step 5: Solve for x
    x = 16,047,854,622.06/109,738.60
  6. Step 6: Final answer
    x = 146,237.10

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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.