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Finding the Fourth Proportional to 159,069.74, 238,567.71 and 70,274.84

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Solution

The fourth proportional to 159,069.74, 238,567.71 and 70,274.84 is: 105,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,069.74 : 238,567.71 = 70,274.84 : x
  2. Step 2: Convert to fraction form
    159,069.74/238,567.71 = 70,274.84/x
  3. Step 3: Cross multiply
    159,069.74x = 238,567.71 × 70,274.84
  4. Step 4: Simplify right side
    159,069.74x = 16,765,307,649.42
  5. Step 5: Solve for x
    x = 16,765,307,649.42/159,069.74
  6. Step 6: Final answer
    x = 105,395.96

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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.