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Finding the Fourth Proportional to 174,636.30, 261,954.45 and 127,980.30

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Solution

The fourth proportional to 174,636.30, 261,954.45 and 127,980.30 is: 191,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,636.30 : 261,954.45 = 127,980.30 : x
  2. Step 2: Convert to fraction form
    174,636.30/261,954.45 = 127,980.30/x
  3. Step 3: Cross multiply
    174,636.30x = 261,954.45 × 127,980.30
  4. Step 4: Simplify right side
    174,636.30x = 33,525,009,097.34
  5. Step 5: Solve for x
    x = 33,525,009,097.34/174,636.30
  6. Step 6: Final answer
    x = 191,970.45

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