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Finding the Fourth Proportional to 164,503.80, 230,830.20 and 164,503.80

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Solution

The fourth proportional to 164,503.80, 230,830.20 and 164,503.80 is: 230,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,503.80 : 230,830.20 = 164,503.80 : x
  2. Step 2: Convert to fraction form
    164,503.80/230,830.20 = 164,503.80/x
  3. Step 3: Cross multiply
    164,503.80x = 230,830.20 × 164,503.80
  4. Step 4: Simplify right side
    164,503.80x = 37,972,445,054.76
  5. Step 5: Solve for x
    x = 37,972,445,054.76/164,503.80
  6. Step 6: Final answer
    x = 230,830.20

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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.