Home / 205,281.34-283,288.64-114,637.02

Finding the Fourth Proportional to 205,281.34, 283,288.64 and 114,637.02

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Solution

The fourth proportional to 205,281.34, 283,288.64 and 114,637.02 is: 158,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,281.34 : 283,288.64 = 114,637.02 : x
  2. Step 2: Convert to fraction form
    205,281.34/283,288.64 = 114,637.02/x
  3. Step 3: Cross multiply
    205,281.34x = 283,288.64 × 114,637.02
  4. Step 4: Simplify right side
    205,281.34x = 32,475,365,489.45
  5. Step 5: Solve for x
    x = 32,475,365,489.45/205,281.34
  6. Step 6: Final answer
    x = 158,199.31

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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.