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Finding the Fourth Proportional to 180,309.95, 248,824.66 and 99,737.41

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Solution

The fourth proportional to 180,309.95, 248,824.66 and 99,737.41 is: 137,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,309.95 : 248,824.66 = 99,737.41 : x
  2. Step 2: Convert to fraction form
    180,309.95/248,824.66 = 99,737.41/x
  3. Step 3: Cross multiply
    180,309.95x = 248,824.66 × 99,737.41
  4. Step 4: Simplify right side
    180,309.95x = 24,817,126,261.13
  5. Step 5: Solve for x
    x = 24,817,126,261.13/180,309.95
  6. Step 6: Final answer
    x = 137,635.92

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Why These Related Problems?

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