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Finding the Fourth Proportional to 153,083.40, 211,326.84 and 102,182.12

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Solution

The fourth proportional to 153,083.40, 211,326.84 and 102,182.12 is: 141,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,083.40 : 211,326.84 = 102,182.12 : x
  2. Step 2: Convert to fraction form
    153,083.40/211,326.84 = 102,182.12/x
  3. Step 3: Cross multiply
    153,083.40x = 211,326.84 × 102,182.12
  4. Step 4: Simplify right side
    153,083.40x = 21,593,824,524.10
  5. Step 5: Solve for x
    x = 21,593,824,524.10/153,083.40
  6. Step 6: Final answer
    x = 141,059.22

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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.