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Finding the Fourth Proportional to 119,205.18, 164,461.79 and 76,209.84

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Solution

The fourth proportional to 119,205.18, 164,461.79 and 76,209.84 is: 105,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,205.18 : 164,461.79 = 76,209.84 : x
  2. Step 2: Convert to fraction form
    119,205.18/164,461.79 = 76,209.84/x
  3. Step 3: Cross multiply
    119,205.18x = 164,461.79 × 76,209.84
  4. Step 4: Simplify right side
    119,205.18x = 12,533,606,702.01
  5. Step 5: Solve for x
    x = 12,533,606,702.01/119,205.18
  6. Step 6: Final answer
    x = 105,143.14

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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.