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Finding the Fourth Proportional to 142,260.98, 213,386.43 and 35,645.84

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Solution

The fourth proportional to 142,260.98, 213,386.43 and 35,645.84 is: 53,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,260.98 : 213,386.43 = 35,645.84 : x
  2. Step 2: Convert to fraction form
    142,260.98/213,386.43 = 35,645.84/x
  3. Step 3: Cross multiply
    142,260.98x = 213,386.43 × 35,645.84
  4. Step 4: Simplify right side
    142,260.98x = 7,606,338,408.89
  5. Step 5: Solve for x
    x = 7,606,338,408.89/142,260.98
  6. Step 6: Final answer
    x = 53,467.50

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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.