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Finding the Fourth Proportional to 159,374.22, 238,897.31 and 70,669.50

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Solution

The fourth proportional to 159,374.22, 238,897.31 and 70,669.50 is: 105,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,374.22 : 238,897.31 = 70,669.50 : x
  2. Step 2: Convert to fraction form
    159,374.22/238,897.31 = 70,669.50/x
  3. Step 3: Cross multiply
    159,374.22x = 238,897.31 × 70,669.50
  4. Step 4: Simplify right side
    159,374.22x = 16,882,753,095.70
  5. Step 5: Solve for x
    x = 16,882,753,095.70/159,374.22
  6. Step 6: Final answer
    x = 105,931.52

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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.