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Finding the Fourth Proportional to 156,064.10, 233,768.10 and 129,820.10

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Solution

The fourth proportional to 156,064.10, 233,768.10 and 129,820.10 is: 194,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,064.10 : 233,768.10 = 129,820.10 : x
  2. Step 2: Convert to fraction form
    156,064.10/233,768.10 = 129,820.10/x
  3. Step 3: Cross multiply
    156,064.10x = 233,768.10 × 129,820.10
  4. Step 4: Simplify right side
    156,064.10x = 30,347,798,118.81
  5. Step 5: Solve for x
    x = 30,347,798,118.81/156,064.10
  6. Step 6: Final answer
    x = 194,457.27

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