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Finding the Fourth Proportional to 188,012.50, 259,456.50 and 101,971.14

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Solution

The fourth proportional to 188,012.50, 259,456.50 and 101,971.14 is: 140,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,012.50 : 259,456.50 = 101,971.14 : x
  2. Step 2: Convert to fraction form
    188,012.50/259,456.50 = 101,971.14/x
  3. Step 3: Cross multiply
    188,012.50x = 259,456.50 × 101,971.14
  4. Step 4: Simplify right side
    188,012.50x = 26,457,075,085.41
  5. Step 5: Solve for x
    x = 26,457,075,085.41/188,012.50
  6. Step 6: Final answer
    x = 140,719.77

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1.5x scale

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.