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Finding the Fourth Proportional to 180,152.88, 248,595.48 and 103,645.68

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Solution

The fourth proportional to 180,152.88, 248,595.48 and 103,645.68 is: 143,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152.88 : 248,595.48 = 103,645.68 : x
  2. Step 2: Convert to fraction form
    180,152.88/248,595.48 = 103,645.68/x
  3. Step 3: Cross multiply
    180,152.88x = 248,595.48 × 103,645.68
  4. Step 4: Simplify right side
    180,152.88x = 25,765,847,569.53
  5. Step 5: Solve for x
    x = 25,765,847,569.53/180,152.88
  6. Step 6: Final answer
    x = 143,022.12

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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.