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Finding the Fourth Proportional to 206,967.83, 310,205.70 and 185,808.60

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Solution

The fourth proportional to 206,967.83, 310,205.70 and 185,808.60 is: 278,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967.83 : 310,205.70 = 185,808.60 : x
  2. Step 2: Convert to fraction form
    206,967.83/310,205.70 = 185,808.60/x
  3. Step 3: Cross multiply
    206,967.83x = 310,205.70 × 185,808.60
  4. Step 4: Simplify right side
    206,967.83x = 57,638,886,829.02
  5. Step 5: Solve for x
    x = 57,638,886,829.02/206,967.83
  6. Step 6: Final answer
    x = 278,492.02

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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.