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Finding the Fourth Proportional to 314,108.56, 471,118.38 and 100,895.01

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Solution

The fourth proportional to 314,108.56, 471,118.38 and 100,895.01 is: 151,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,108.56 : 471,118.38 = 100,895.01 : x
  2. Step 2: Convert to fraction form
    314,108.56/471,118.38 = 100,895.01/x
  3. Step 3: Cross multiply
    314,108.56x = 471,118.38 × 100,895.01
  4. Step 4: Simplify right side
    314,108.56x = 47,533,493,661.28
  5. Step 5: Solve for x
    x = 47,533,493,661.28/314,108.56
  6. Step 6: Final answer
    x = 151,328.23

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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.