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Finding the Fourth Proportional to 153,124.14, 211,324.23 and 85,146.06

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Solution

The fourth proportional to 153,124.14, 211,324.23 and 85,146.06 is: 117,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,124.14 : 211,324.23 = 85,146.06 : x
  2. Step 2: Convert to fraction form
    153,124.14/211,324.23 = 85,146.06/x
  3. Step 3: Cross multiply
    153,124.14x = 211,324.23 × 85,146.06
  4. Step 4: Simplify right side
    153,124.14x = 17,993,425,567.03
  5. Step 5: Solve for x
    x = 17,993,425,567.03/153,124.14
  6. Step 6: Final answer
    x = 117,508.75

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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.