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Finding the Fourth Proportional to 153,709.68, 212,119.74 and 85,731.06

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Solution

The fourth proportional to 153,709.68, 212,119.74 and 85,731.06 is: 118,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709.68 : 212,119.74 = 85,731.06 : x
  2. Step 2: Convert to fraction form
    153,709.68/212,119.74 = 85,731.06/x
  3. Step 3: Cross multiply
    153,709.68x = 212,119.74 × 85,731.06
  4. Step 4: Simplify right side
    153,709.68x = 18,185,248,667.87
  5. Step 5: Solve for x
    x = 18,185,248,667.87/153,709.68
  6. Step 6: Final answer
    x = 118,309.07

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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.