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Finding the Fourth Proportional to 183,111.84, 274,823.28 and 130,649.76

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Solution

The fourth proportional to 183,111.84, 274,823.28 and 130,649.76 is: 196,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,111.84 : 274,823.28 = 130,649.76 : x
  2. Step 2: Convert to fraction form
    183,111.84/274,823.28 = 130,649.76/x
  3. Step 3: Cross multiply
    183,111.84x = 274,823.28 × 130,649.76
  4. Step 4: Simplify right side
    183,111.84x = 35,905,595,574.41
  5. Step 5: Solve for x
    x = 35,905,595,574.41/183,111.84
  6. Step 6: Final answer
    x = 196,085.60

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Why These Related Problems?

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