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Finding the Fourth Proportional to 104,025.60, 156,038.40 and 97,464.60

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Solution

The fourth proportional to 104,025.60, 156,038.40 and 97,464.60 is: 146,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,025.60 : 156,038.40 = 97,464.60 : x
  2. Step 2: Convert to fraction form
    104,025.60/156,038.40 = 97,464.60/x
  3. Step 3: Cross multiply
    104,025.60x = 156,038.40 × 97,464.60
  4. Step 4: Simplify right side
    104,025.60x = 15,208,220,240.64
  5. Step 5: Solve for x
    x = 15,208,220,240.64/104,025.60
  6. Step 6: Final answer
    x = 146,196.90

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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.