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Finding the Fourth Proportional to 153,879.12, 230,852.16 and 48,699

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Solution

The fourth proportional to 153,879.12, 230,852.16 and 48,699 is: 73,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,879.12 : 230,852.16 = 48,699 : x
  2. Step 2: Convert to fraction form
    153,879.12/230,852.16 = 48,699/x
  3. Step 3: Cross multiply
    153,879.12x = 230,852.16 × 48,699
  4. Step 4: Simplify right side
    153,879.12x = 11,242,269,339.84
  5. Step 5: Solve for x
    x = 11,242,269,339.84/153,879.12
  6. Step 6: Final answer
    x = 73,059.10

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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.