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Finding the Fourth Proportional to 211,030.92, 316,271.79 and 160,926.75

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Solution

The fourth proportional to 211,030.92, 316,271.79 and 160,926.75 is: 241,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,030.92 : 316,271.79 = 160,926.75 : x
  2. Step 2: Convert to fraction form
    211,030.92/316,271.79 = 160,926.75/x
  3. Step 3: Cross multiply
    211,030.92x = 316,271.79 × 160,926.75
  4. Step 4: Simplify right side
    211,030.92x = 50,896,591,281.38
  5. Step 5: Solve for x
    x = 50,896,591,281.38/211,030.92
  6. Step 6: Final answer
    x = 241,180.73

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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.