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Finding the Fourth Proportional to 208,235.56, 312,026.28 and 160,966.48

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Solution

The fourth proportional to 208,235.56, 312,026.28 and 160,966.48 is: 241,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,235.56 : 312,026.28 = 160,966.48 : x
  2. Step 2: Convert to fraction form
    208,235.56/312,026.28 = 160,966.48/x
  3. Step 3: Cross multiply
    208,235.56x = 312,026.28 × 160,966.48
  4. Step 4: Simplify right side
    208,235.56x = 50,225,771,959.09
  5. Step 5: Solve for x
    x = 50,225,771,959.09/208,235.56
  6. Step 6: Final answer
    x = 241,196.90

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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.