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Finding the Fourth Proportional to 119,809.34, 165,263.63 and 76,774.34

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Solution

The fourth proportional to 119,809.34, 165,263.63 and 76,774.34 is: 105,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,809.34 : 165,263.63 = 76,774.34 : x
  2. Step 2: Convert to fraction form
    119,809.34/165,263.63 = 76,774.34/x
  3. Step 3: Cross multiply
    119,809.34x = 165,263.63 × 76,774.34
  4. Step 4: Simplify right side
    119,809.34x = 12,688,006,148.54
  5. Step 5: Solve for x
    x = 12,688,006,148.54/119,809.34
  6. Step 6: Final answer
    x = 105,901.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.