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Finding the Fourth Proportional to 299,879.16, 449,811.57 and 97,475.01

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Solution

The fourth proportional to 299,879.16, 449,811.57 and 97,475.01 is: 146,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,879.16 : 449,811.57 = 97,475.01 : x
  2. Step 2: Convert to fraction form
    299,879.16/449,811.57 = 97,475.01/x
  3. Step 3: Cross multiply
    299,879.16x = 449,811.57 × 97,475.01
  4. Step 4: Simplify right side
    299,879.16x = 43,845,387,283.87
  5. Step 5: Solve for x
    x = 43,845,387,283.87/299,879.16
  6. Step 6: Final answer
    x = 146,210.18

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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.