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Finding the Fourth Proportional to 208,235.81, 312,026.66 and 160,966.73

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Solution

The fourth proportional to 208,235.81, 312,026.66 and 160,966.73 is: 241,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,235.81 : 312,026.66 = 160,966.73 : x
  2. Step 2: Convert to fraction form
    208,235.81/312,026.66 = 160,966.73/x
  3. Step 3: Cross multiply
    208,235.81x = 312,026.66 × 160,966.73
  4. Step 4: Simplify right side
    208,235.81x = 50,225,910,328.19
  5. Step 5: Solve for x
    x = 50,225,910,328.19/208,235.81
  6. Step 6: Final answer
    x = 241,197.28

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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.