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Finding the Fourth Proportional to 125,457.66, 188,146.84 and 41,203.94

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Solution

The fourth proportional to 125,457.66, 188,146.84 and 41,203.94 is: 61,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,457.66 : 188,146.84 = 41,203.94 : x
  2. Step 2: Convert to fraction form
    125,457.66/188,146.84 = 41,203.94/x
  3. Step 3: Cross multiply
    125,457.66x = 188,146.84 × 41,203.94
  4. Step 4: Simplify right side
    125,457.66x = 7,752,391,106.55
  5. Step 5: Solve for x
    x = 7,752,391,106.55/125,457.66
  6. Step 6: Final answer
    x = 61,792.89

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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.