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Finding the Fourth Proportional to 136,970.76, 189,041.34 and 83,272.60

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Solution

The fourth proportional to 136,970.76, 189,041.34 and 83,272.60 is: 114,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970.76 : 189,041.34 = 83,272.60 : x
  2. Step 2: Convert to fraction form
    136,970.76/189,041.34 = 83,272.60/x
  3. Step 3: Cross multiply
    136,970.76x = 189,041.34 × 83,272.60
  4. Step 4: Simplify right side
    136,970.76x = 15,741,963,889.28
  5. Step 5: Solve for x
    x = 15,741,963,889.28/136,970.76
  6. Step 6: Final answer
    x = 114,929.38

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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.