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Finding the Fourth Proportional to 301,705.56, 452,616.66 and 102,058.38

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Solution

The fourth proportional to 301,705.56, 452,616.66 and 102,058.38 is: 153,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,705.56 : 452,616.66 = 102,058.38 : x
  2. Step 2: Convert to fraction form
    301,705.56/452,616.66 = 102,058.38/x
  3. Step 3: Cross multiply
    301,705.56x = 452,616.66 × 102,058.38
  4. Step 4: Simplify right side
    301,705.56x = 46,193,323,080.61
  5. Step 5: Solve for x
    x = 46,193,323,080.61/301,705.56
  6. Step 6: Final answer
    x = 153,107.30

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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.