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Finding the Fourth Proportional to 119,848, 178,860.64 and 106,562.40

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Solution

The fourth proportional to 119,848, 178,860.64 and 106,562.40 is: 159,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,848 : 178,860.64 = 106,562.40 : x
  2. Step 2: Convert to fraction form
    119,848/178,860.64 = 106,562.40/x
  3. Step 3: Cross multiply
    119,848x = 178,860.64 × 106,562.40
  4. Step 4: Simplify right side
    119,848x = 19,059,819,063.94
  5. Step 5: Solve for x
    x = 19,059,819,063.94/119,848
  6. Step 6: Final answer
    x = 159,033.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.