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Finding the Fourth Proportional to 130,595.85, 180,190.80 and 82,831.77

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Solution

The fourth proportional to 130,595.85, 180,190.80 and 82,831.77 is: 114,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,595.85 : 180,190.80 = 82,831.77 : x
  2. Step 2: Convert to fraction form
    130,595.85/180,190.80 = 82,831.77/x
  3. Step 3: Cross multiply
    130,595.85x = 180,190.80 × 82,831.77
  4. Step 4: Simplify right side
    130,595.85x = 14,925,522,901.72
  5. Step 5: Solve for x
    x = 14,925,522,901.72/130,595.85
  6. Step 6: Final answer
    x = 114,287.88

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