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Finding the Fourth Proportional to 210,867.30, 290,998.98 and 115,378.02

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Solution

The fourth proportional to 210,867.30, 290,998.98 and 115,378.02 is: 159,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,867.30 : 290,998.98 = 115,378.02 : x
  2. Step 2: Convert to fraction form
    210,867.30/290,998.98 = 115,378.02/x
  3. Step 3: Cross multiply
    210,867.30x = 290,998.98 × 115,378.02
  4. Step 4: Simplify right side
    210,867.30x = 33,574,886,134.42
  5. Step 5: Solve for x
    x = 33,574,886,134.42/210,867.30
  6. Step 6: Final answer
    x = 159,222.82

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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.