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Finding the Fourth Proportional to 153,648.96, 230,480.73 and 74,669.10

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Solution

The fourth proportional to 153,648.96, 230,480.73 and 74,669.10 is: 112,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,648.96 : 230,480.73 = 74,669.10 : x
  2. Step 2: Convert to fraction form
    153,648.96/230,480.73 = 74,669.10/x
  3. Step 3: Cross multiply
    153,648.96x = 230,480.73 × 74,669.10
  4. Step 4: Simplify right side
    153,648.96x = 17,209,788,676.44
  5. Step 5: Solve for x
    x = 17,209,788,676.44/153,648.96
  6. Step 6: Final answer
    x = 112,007.19

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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.