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Finding the Fourth Proportional to 102,905.60, 154,358.40 and 96,684.80

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Solution

The fourth proportional to 102,905.60, 154,358.40 and 96,684.80 is: 145,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,905.60 : 154,358.40 = 96,684.80 : x
  2. Step 2: Convert to fraction form
    102,905.60/154,358.40 = 96,684.80/x
  3. Step 3: Cross multiply
    102,905.60x = 154,358.40 × 96,684.80
  4. Step 4: Simplify right side
    102,905.60x = 14,924,111,032.32
  5. Step 5: Solve for x
    x = 14,924,111,032.32/102,905.60
  6. Step 6: Final answer
    x = 145,027.20

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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.