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Finding the Fourth Proportional to 206,823.40, 310,235.10 and 88,506.70

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Solution

The fourth proportional to 206,823.40, 310,235.10 and 88,506.70 is: 132,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,823.40 : 310,235.10 = 88,506.70 : x
  2. Step 2: Convert to fraction form
    206,823.40/310,235.10 = 88,506.70/x
  3. Step 3: Cross multiply
    206,823.40x = 310,235.10 × 88,506.70
  4. Step 4: Simplify right side
    206,823.40x = 27,457,884,925.17
  5. Step 5: Solve for x
    x = 27,457,884,925.17/206,823.40
  6. Step 6: Final answer
    x = 132,760.05

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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.