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Finding the Fourth Proportional to 153,104.12, 211,301.16 and 85,127.84

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Solution

The fourth proportional to 153,104.12, 211,301.16 and 85,127.84 is: 117,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,104.12 : 211,301.16 = 85,127.84 : x
  2. Step 2: Convert to fraction form
    153,104.12/211,301.16 = 85,127.84/x
  3. Step 3: Cross multiply
    153,104.12x = 211,301.16 × 85,127.84
  4. Step 4: Simplify right side
    153,104.12x = 17,987,611,340.29
  5. Step 5: Solve for x
    x = 17,987,611,340.29/153,104.12
  6. Step 6: Final answer
    x = 117,486.14

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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.