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Finding the Fourth Proportional to 228,051.98, 342,133.64 and 160,715.36

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Solution

The fourth proportional to 228,051.98, 342,133.64 and 160,715.36 is: 241,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.98 : 342,133.64 = 160,715.36 : x
  2. Step 2: Convert to fraction form
    228,051.98/342,133.64 = 160,715.36/x
  3. Step 3: Cross multiply
    228,051.98x = 342,133.64 × 160,715.36
  4. Step 4: Simplify right side
    228,051.98x = 54,986,129,811.83
  5. Step 5: Solve for x
    x = 54,986,129,811.83/228,051.98
  6. Step 6: Final answer
    x = 241,112.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.