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Finding the Fourth Proportional to 102,708.37, 154,060.49 and 46,538.01

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Solution

The fourth proportional to 102,708.37, 154,060.49 and 46,538.01 is: 69,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.37 : 154,060.49 = 46,538.01 : x
  2. Step 2: Convert to fraction form
    102,708.37/154,060.49 = 46,538.01/x
  3. Step 3: Cross multiply
    102,708.37x = 154,060.49 × 46,538.01
  4. Step 4: Simplify right side
    102,708.37x = 7,169,668,624.22
  5. Step 5: Solve for x
    x = 7,169,668,624.22/102,708.37
  6. Step 6: Final answer
    x = 69,806.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.