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Finding the Fourth Proportional to 180,405.06, 248,955.21 and 99,827.76

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Solution

The fourth proportional to 180,405.06, 248,955.21 and 99,827.76 is: 137,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,405.06 : 248,955.21 = 99,827.76 : x
  2. Step 2: Convert to fraction form
    180,405.06/248,955.21 = 99,827.76/x
  3. Step 3: Cross multiply
    180,405.06x = 248,955.21 × 99,827.76
  4. Step 4: Simplify right side
    180,405.06x = 24,852,640,954.63
  5. Step 5: Solve for x
    x = 24,852,640,954.63/180,405.06
  6. Step 6: Final answer
    x = 137,760.22

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1.5x scale

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.