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Finding the Fourth Proportional to 127,007.70, 177,577.50 and 127,007.70

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Solution

The fourth proportional to 127,007.70, 177,577.50 and 127,007.70 is: 177,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,007.70 : 177,577.50 = 127,007.70 : x
  2. Step 2: Convert to fraction form
    127,007.70/177,577.50 = 127,007.70/x
  3. Step 3: Cross multiply
    127,007.70x = 177,577.50 × 127,007.70
  4. Step 4: Simplify right side
    127,007.70x = 22,553,709,846.75
  5. Step 5: Solve for x
    x = 22,553,709,846.75/127,007.70
  6. Step 6: Final answer
    x = 177,577.50

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