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Finding the Fourth Proportional to 276,071.22, 414,094.95 and 86,527.71

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Solution

The fourth proportional to 276,071.22, 414,094.95 and 86,527.71 is: 129,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,071.22 : 414,094.95 = 86,527.71 : x
  2. Step 2: Convert to fraction form
    276,071.22/414,094.95 = 86,527.71/x
  3. Step 3: Cross multiply
    276,071.22x = 414,094.95 × 86,527.71
  4. Step 4: Simplify right side
    276,071.22x = 35,830,687,746.06
  5. Step 5: Solve for x
    x = 35,830,687,746.06/276,071.22
  6. Step 6: Final answer
    x = 129,787.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.