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Finding the Fourth Proportional to 199,075.86, 298,606.50 and 49,316.58

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Solution

The fourth proportional to 199,075.86, 298,606.50 and 49,316.58 is: 73,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,075.86 : 298,606.50 = 49,316.58 : x
  2. Step 2: Convert to fraction form
    199,075.86/298,606.50 = 49,316.58/x
  3. Step 3: Cross multiply
    199,075.86x = 298,606.50 × 49,316.58
  4. Step 4: Simplify right side
    199,075.86x = 14,726,251,345.77
  5. Step 5: Solve for x
    x = 14,726,251,345.77/199,075.86
  6. Step 6: Final answer
    x = 73,973.06

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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.