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Finding the Fourth Proportional to 200,344.31, 276,482.58 and 114,317.28

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Solution

The fourth proportional to 200,344.31, 276,482.58 and 114,317.28 is: 157,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344.31 : 276,482.58 = 114,317.28 : x
  2. Step 2: Convert to fraction form
    200,344.31/276,482.58 = 114,317.28/x
  3. Step 3: Cross multiply
    200,344.31x = 276,482.58 × 114,317.28
  4. Step 4: Simplify right side
    200,344.31x = 31,606,736,512.98
  5. Step 5: Solve for x
    x = 31,606,736,512.98/200,344.31
  6. Step 6: Final answer
    x = 157,762.09

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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.