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Finding the Fourth Proportional to 153,521.72, 211,614.59 and 102,433.40

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Solution

The fourth proportional to 153,521.72, 211,614.59 and 102,433.40 is: 141,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,521.72 : 211,614.59 = 102,433.40 : x
  2. Step 2: Convert to fraction form
    153,521.72/211,614.59 = 102,433.40/x
  3. Step 3: Cross multiply
    153,521.72x = 211,614.59 × 102,433.40
  4. Step 4: Simplify right side
    153,521.72x = 21,676,401,943.31
  5. Step 5: Solve for x
    x = 21,676,401,943.31/153,521.72
  6. Step 6: Final answer
    x = 141,194.37

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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.