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Finding the Fourth Proportional to 140,094.36, 210,023.28 and 65,175.84

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Solution

The fourth proportional to 140,094.36, 210,023.28 and 65,175.84 is: 97,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,094.36 : 210,023.28 = 65,175.84 : x
  2. Step 2: Convert to fraction form
    140,094.36/210,023.28 = 65,175.84/x
  3. Step 3: Cross multiply
    140,094.36x = 210,023.28 × 65,175.84
  4. Step 4: Simplify right side
    140,094.36x = 13,688,443,693.56
  5. Step 5: Solve for x
    x = 13,688,443,693.56/140,094.36
  6. Step 6: Final answer
    x = 97,708.74

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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.