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Finding the Fourth Proportional to 164,055.45, 245,591.10 and 97,461.30

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Solution

The fourth proportional to 164,055.45, 245,591.10 and 97,461.30 is: 145,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,055.45 : 245,591.10 = 97,461.30 : x
  2. Step 2: Convert to fraction form
    164,055.45/245,591.10 = 97,461.30/x
  3. Step 3: Cross multiply
    164,055.45x = 245,591.10 × 97,461.30
  4. Step 4: Simplify right side
    164,055.45x = 23,935,627,874.43
  5. Step 5: Solve for x
    x = 23,935,627,874.43/164,055.45
  6. Step 6: Final answer
    x = 145,899.62

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