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Finding the Fourth Proportional to 210,098.72, 289,986 and 120,726.56

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Solution

The fourth proportional to 210,098.72, 289,986 and 120,726.56 is: 166,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.72 : 289,986 = 120,726.56 : x
  2. Step 2: Convert to fraction form
    210,098.72/289,986 = 120,726.56/x
  3. Step 3: Cross multiply
    210,098.72x = 289,986 × 120,726.56
  4. Step 4: Simplify right side
    210,098.72x = 35,009,012,228.16
  5. Step 5: Solve for x
    x = 35,009,012,228.16/210,098.72
  6. Step 6: Final answer
    x = 166,631.25

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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.