Home / 205,756.32-283,941.63-113,875.79

Finding the Fourth Proportional to 205,756.32, 283,941.63 and 113,875.79

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Solution

The fourth proportional to 205,756.32, 283,941.63 and 113,875.79 is: 157,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,756.32 : 283,941.63 = 113,875.79 : x
  2. Step 2: Convert to fraction form
    205,756.32/283,941.63 = 113,875.79/x
  3. Step 3: Cross multiply
    205,756.32x = 283,941.63 × 113,875.79
  4. Step 4: Simplify right side
    205,756.32x = 32,334,076,010.43
  5. Step 5: Solve for x
    x = 32,334,076,010.43/205,756.32
  6. Step 6: Final answer
    x = 157,147.43

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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.