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Finding the Fourth Proportional to 401,360.06, 602,040.09 and 101,842.21

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Solution

The fourth proportional to 401,360.06, 602,040.09 and 101,842.21 is: 152,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,360.06 : 602,040.09 = 101,842.21 : x
  2. Step 2: Convert to fraction form
    401,360.06/602,040.09 = 101,842.21/x
  3. Step 3: Cross multiply
    401,360.06x = 602,040.09 × 101,842.21
  4. Step 4: Simplify right side
    401,360.06x = 61,313,094,408.66
  5. Step 5: Solve for x
    x = 61,313,094,408.66/401,360.06
  6. Step 6: Final answer
    x = 152,763.32

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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.