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Finding the Fourth Proportional to 200,468.16, 276,014.88 and 170,193.60

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Solution

The fourth proportional to 200,468.16, 276,014.88 and 170,193.60 is: 234,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.16 : 276,014.88 = 170,193.60 : x
  2. Step 2: Convert to fraction form
    200,468.16/276,014.88 = 170,193.60/x
  3. Step 3: Cross multiply
    200,468.16x = 276,014.88 × 170,193.60
  4. Step 4: Simplify right side
    200,468.16x = 46,975,966,080.77
  5. Step 5: Solve for x
    x = 46,975,966,080.77/200,468.16
  6. Step 6: Final answer
    x = 234,331.31

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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.