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Finding the Fourth Proportional to 475,058.10, 712,587.23 and 120,073.14

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Solution

The fourth proportional to 475,058.10, 712,587.23 and 120,073.14 is: 180,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,058.10 : 712,587.23 = 120,073.14 : x
  2. Step 2: Convert to fraction form
    475,058.10/712,587.23 = 120,073.14/x
  3. Step 3: Cross multiply
    475,058.10x = 712,587.23 × 120,073.14
  4. Step 4: Simplify right side
    475,058.10x = 85,562,586,230.00
  5. Step 5: Solve for x
    x = 85,562,586,230.00/475,058.10
  6. Step 6: Final answer
    x = 180,109.73

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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.