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Finding the Fourth Proportional to 210,724.74, 290,795.67 and 115,225.74

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Solution

The fourth proportional to 210,724.74, 290,795.67 and 115,225.74 is: 159,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,724.74 : 290,795.67 = 115,225.74 : x
  2. Step 2: Convert to fraction form
    210,724.74/290,795.67 = 115,225.74/x
  3. Step 3: Cross multiply
    210,724.74x = 290,795.67 × 115,225.74
  4. Step 4: Simplify right side
    210,724.74x = 33,507,146,264.55
  5. Step 5: Solve for x
    x = 33,507,146,264.55/210,724.74
  6. Step 6: Final answer
    x = 159,009.08

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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.