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Finding the Fourth Proportional to 153,109.94, 211,301.26 and 85,142.09

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Solution

The fourth proportional to 153,109.94, 211,301.26 and 85,142.09 is: 117,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,109.94 : 211,301.26 = 85,142.09 : x
  2. Step 2: Convert to fraction form
    153,109.94/211,301.26 = 85,142.09/x
  3. Step 3: Cross multiply
    153,109.94x = 211,301.26 × 85,142.09
  4. Step 4: Simplify right side
    153,109.94x = 17,990,631,211.43
  5. Step 5: Solve for x
    x = 17,990,631,211.43/153,109.94
  6. Step 6: Final answer
    x = 117,501.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.