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Finding the Fourth Proportional to 141,009, 211,492.68 and 41,142.39

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Solution

The fourth proportional to 141,009, 211,492.68 and 41,142.39 is: 61,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,009 : 211,492.68 = 41,142.39 : x
  2. Step 2: Convert to fraction form
    141,009/211,492.68 = 41,142.39/x
  3. Step 3: Cross multiply
    141,009x = 211,492.68 × 41,142.39
  4. Step 4: Simplify right side
    141,009x = 8,701,314,322.71
  5. Step 5: Solve for x
    x = 8,701,314,322.71/141,009
  6. Step 6: Final answer
    x = 61,707.51

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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.