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Finding the Fourth Proportional to 200,159.52, 276,403.80 and 128,664.06

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Solution

The fourth proportional to 200,159.52, 276,403.80 and 128,664.06 is: 177,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,159.52 : 276,403.80 = 128,664.06 : x
  2. Step 2: Convert to fraction form
    200,159.52/276,403.80 = 128,664.06/x
  3. Step 3: Cross multiply
    200,159.52x = 276,403.80 × 128,664.06
  4. Step 4: Simplify right side
    200,159.52x = 35,563,235,107.43
  5. Step 5: Solve for x
    x = 35,563,235,107.43/200,159.52
  6. Step 6: Final answer
    x = 177,674.46

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1.5x scale

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.