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Finding the Fourth Proportional to 114,659.96, 158,284.14 and 76,483.04

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Solution

The fourth proportional to 114,659.96, 158,284.14 and 76,483.04 is: 105,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,659.96 : 158,284.14 = 76,483.04 : x
  2. Step 2: Convert to fraction form
    114,659.96/158,284.14 = 76,483.04/x
  3. Step 3: Cross multiply
    114,659.96x = 158,284.14 × 76,483.04
  4. Step 4: Simplify right side
    114,659.96x = 12,106,052,210.99
  5. Step 5: Solve for x
    x = 12,106,052,210.99/114,659.96
  6. Step 6: Final answer
    x = 105,582.21

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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.