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Finding the Fourth Proportional to 208,030.80, 312,353.40 and 161,336.40

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Solution

The fourth proportional to 208,030.80, 312,353.40 and 161,336.40 is: 242,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030.80 : 312,353.40 = 161,336.40 : x
  2. Step 2: Convert to fraction form
    208,030.80/312,353.40 = 161,336.40/x
  3. Step 3: Cross multiply
    208,030.80x = 312,353.40 × 161,336.40
  4. Step 4: Simplify right side
    208,030.80x = 50,393,973,083.76
  5. Step 5: Solve for x
    x = 50,393,973,083.76/208,030.80
  6. Step 6: Final answer
    x = 242,242.85

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1.5x scale

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.