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Finding the Fourth Proportional to 153,107.44, 229,646.31 and 46,492.32

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Solution

The fourth proportional to 153,107.44, 229,646.31 and 46,492.32 is: 69,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,107.44 : 229,646.31 = 46,492.32 : x
  2. Step 2: Convert to fraction form
    153,107.44/229,646.31 = 46,492.32/x
  3. Step 3: Cross multiply
    153,107.44x = 229,646.31 × 46,492.32
  4. Step 4: Simplify right side
    153,107.44x = 10,676,790,120.98
  5. Step 5: Solve for x
    x = 10,676,790,120.98/153,107.44
  6. Step 6: Final answer
    x = 69,733.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.