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Finding the Fourth Proportional to 210,127.74, 289,970.52 and 114,634.41

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Solution

The fourth proportional to 210,127.74, 289,970.52 and 114,634.41 is: 158,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,127.74 : 289,970.52 = 114,634.41 : x
  2. Step 2: Convert to fraction form
    210,127.74/289,970.52 = 114,634.41/x
  3. Step 3: Cross multiply
    210,127.74x = 289,970.52 × 114,634.41
  4. Step 4: Simplify right side
    210,127.74x = 33,240,599,477.59
  5. Step 5: Solve for x
    x = 33,240,599,477.59/210,127.74
  6. Step 6: Final answer
    x = 158,192.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.