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Finding the Fourth Proportional to 102,409.80, 154,167.95 and 92,110.65

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Solution

The fourth proportional to 102,409.80, 154,167.95 and 92,110.65 is: 138,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.80 : 154,167.95 = 92,110.65 : x
  2. Step 2: Convert to fraction form
    102,409.80/154,167.95 = 92,110.65/x
  3. Step 3: Cross multiply
    102,409.80x = 154,167.95 × 92,110.65
  4. Step 4: Simplify right side
    102,409.80x = 14,200,509,623.11
  5. Step 5: Solve for x
    x = 14,200,509,623.11/102,409.80
  6. Step 6: Final answer
    x = 138,663.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.