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Finding the Fourth Proportional to 136,980.45, 189,033.72 and 76,552.10

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Solution

The fourth proportional to 136,980.45, 189,033.72 and 76,552.10 is: 105,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,980.45 : 189,033.72 = 76,552.10 : x
  2. Step 2: Convert to fraction form
    136,980.45/189,033.72 = 76,552.10/x
  3. Step 3: Cross multiply
    136,980.45x = 189,033.72 × 76,552.10
  4. Step 4: Simplify right side
    136,980.45x = 14,470,927,854.05
  5. Step 5: Solve for x
    x = 14,470,927,854.05/136,980.45
  6. Step 6: Final answer
    x = 105,642.29

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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.