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Finding the Fourth Proportional to 127,005.20, 177,574 and 127,005.20

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Solution

The fourth proportional to 127,005.20, 177,574 and 127,005.20 is: 177,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,005.20 : 177,574 = 127,005.20 : x
  2. Step 2: Convert to fraction form
    127,005.20/177,574 = 127,005.20/x
  3. Step 3: Cross multiply
    127,005.20x = 177,574 × 127,005.20
  4. Step 4: Simplify right side
    127,005.20x = 22,552,821,384.80
  5. Step 5: Solve for x
    x = 22,552,821,384.80/127,005.20
  6. Step 6: Final answer
    x = 177,574

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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.