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Finding the Fourth Proportional to 260,085, 390,127.50 and 73,096.50

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Solution

The fourth proportional to 260,085, 390,127.50 and 73,096.50 is: 109,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,085 : 390,127.50 = 73,096.50 : x
  2. Step 2: Convert to fraction form
    260,085/390,127.50 = 73,096.50/x
  3. Step 3: Cross multiply
    260,085x = 390,127.50 × 73,096.50
  4. Step 4: Simplify right side
    260,085x = 28,516,954,803.75
  5. Step 5: Solve for x
    x = 28,516,954,803.75/260,085
  6. Step 6: Final answer
    x = 109,644.75

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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.