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Finding the Fourth Proportional to 206,803.60, 310,205.40 and 101,827.60

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Solution

The fourth proportional to 206,803.60, 310,205.40 and 101,827.60 is: 152,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.60 : 310,205.40 = 101,827.60 : x
  2. Step 2: Convert to fraction form
    206,803.60/310,205.40 = 101,827.60/x
  3. Step 3: Cross multiply
    206,803.60x = 310,205.40 × 101,827.60
  4. Step 4: Simplify right side
    206,803.60x = 31,587,471,389.04
  5. Step 5: Solve for x
    x = 31,587,471,389.04/206,803.60
  6. Step 6: Final answer
    x = 152,741.40

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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.