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Finding the Fourth Proportional to 164,048.80, 230,290.40 and 164,048.80

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Solution

The fourth proportional to 164,048.80, 230,290.40 and 164,048.80 is: 230,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,048.80 : 230,290.40 = 164,048.80 : x
  2. Step 2: Convert to fraction form
    164,048.80/230,290.40 = 164,048.80/x
  3. Step 3: Cross multiply
    164,048.80x = 230,290.40 × 164,048.80
  4. Step 4: Simplify right side
    164,048.80x = 37,778,863,771.52
  5. Step 5: Solve for x
    x = 37,778,863,771.52/164,048.80
  6. Step 6: Final answer
    x = 230,290.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.