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Finding the Fourth Proportional to 180,298.50, 248,821.38 and 103,829.10

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Solution

The fourth proportional to 180,298.50, 248,821.38 and 103,829.10 is: 143,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,298.50 : 248,821.38 = 103,829.10 : x
  2. Step 2: Convert to fraction form
    180,298.50/248,821.38 = 103,829.10/x
  3. Step 3: Cross multiply
    180,298.50x = 248,821.38 × 103,829.10
  4. Step 4: Simplify right side
    180,298.50x = 25,834,899,946.16
  5. Step 5: Solve for x
    x = 25,834,899,946.16/180,298.50
  6. Step 6: Final answer
    x = 143,289.60

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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.