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Finding the Fourth Proportional to 207,800.42, 286,631.60 and 144,114.98

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Solution

The fourth proportional to 207,800.42, 286,631.60 and 144,114.98 is: 198,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,800.42 : 286,631.60 = 144,114.98 : x
  2. Step 2: Convert to fraction form
    207,800.42/286,631.60 = 144,114.98/x
  3. Step 3: Cross multiply
    207,800.42x = 286,631.60 × 144,114.98
  4. Step 4: Simplify right side
    207,800.42x = 41,307,907,301.37
  5. Step 5: Solve for x
    x = 41,307,907,301.37/207,800.42
  6. Step 6: Final answer
    x = 198,786.45

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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.