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Finding the Fourth Proportional to 180,299.50, 248,822.76 and 103,830.10

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Solution

The fourth proportional to 180,299.50, 248,822.76 and 103,830.10 is: 143,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,299.50 : 248,822.76 = 103,830.10 : x
  2. Step 2: Convert to fraction form
    180,299.50/248,822.76 = 103,830.10/x
  3. Step 3: Cross multiply
    180,299.50x = 248,822.76 × 103,830.10
  4. Step 4: Simplify right side
    180,299.50x = 25,835,292,053.08
  5. Step 5: Solve for x
    x = 25,835,292,053.08/180,299.50
  6. Step 6: Final answer
    x = 143,290.98

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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.