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Finding the Fourth Proportional to 152,675.72, 210,619.94 and 101,712.14

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Solution

The fourth proportional to 152,675.72, 210,619.94 and 101,712.14 is: 140,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,675.72 : 210,619.94 = 101,712.14 : x
  2. Step 2: Convert to fraction form
    152,675.72/210,619.94 = 101,712.14/x
  3. Step 3: Cross multiply
    152,675.72x = 210,619.94 × 101,712.14
  4. Step 4: Simplify right side
    152,675.72x = 21,422,604,824.07
  5. Step 5: Solve for x
    x = 21,422,604,824.07/152,675.72
  6. Step 6: Final answer
    x = 140,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.