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Finding the Fourth Proportional to 165,417, 228,275.44 and 93,797.01

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Solution

The fourth proportional to 165,417, 228,275.44 and 93,797.01 is: 129,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,417 : 228,275.44 = 93,797.01 : x
  2. Step 2: Convert to fraction form
    165,417/228,275.44 = 93,797.01/x
  3. Step 3: Cross multiply
    165,417x = 228,275.44 × 93,797.01
  4. Step 4: Simplify right side
    165,417x = 21,411,553,728.43
  5. Step 5: Solve for x
    x = 21,411,553,728.43/165,417
  6. Step 6: Final answer
    x = 129,439.86

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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.