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Finding the Fourth Proportional to 301,551.08, 416,141.64 and 163,730.22

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Solution

The fourth proportional to 301,551.08, 416,141.64 and 163,730.22 is: 225,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,551.08 : 416,141.64 = 163,730.22 : x
  2. Step 2: Convert to fraction form
    301,551.08/416,141.64 = 163,730.22/x
  3. Step 3: Cross multiply
    301,551.08x = 416,141.64 × 163,730.22
  4. Step 4: Simplify right side
    301,551.08x = 68,134,961,449.71
  5. Step 5: Solve for x
    x = 68,134,961,449.71/301,551.08
  6. Step 6: Final answer
    x = 225,948.33

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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.