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Finding the Fourth Proportional to 151,842.60, 227,763.90 and 102,076.20

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Solution

The fourth proportional to 151,842.60, 227,763.90 and 102,076.20 is: 153,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,842.60 : 227,763.90 = 102,076.20 : x
  2. Step 2: Convert to fraction form
    151,842.60/227,763.90 = 102,076.20/x
  3. Step 3: Cross multiply
    151,842.60x = 227,763.90 × 102,076.20
  4. Step 4: Simplify right side
    151,842.60x = 23,249,273,409.18
  5. Step 5: Solve for x
    x = 23,249,273,409.18/151,842.60
  6. Step 6: Final answer
    x = 153,114.30

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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.