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Finding the Fourth Proportional to 132,851.60, 199,277.40 and 102,784.40

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Solution

The fourth proportional to 132,851.60, 199,277.40 and 102,784.40 is: 154,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,851.60 : 199,277.40 = 102,784.40 : x
  2. Step 2: Convert to fraction form
    132,851.60/199,277.40 = 102,784.40/x
  3. Step 3: Cross multiply
    132,851.60x = 199,277.40 × 102,784.40
  4. Step 4: Simplify right side
    132,851.60x = 20,482,607,992.56
  5. Step 5: Solve for x
    x = 20,482,607,992.56/132,851.60
  6. Step 6: Final answer
    x = 154,176.60

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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.