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Finding the Fourth Proportional to 152,514.16, 210,469.40 and 85,446.64

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Solution

The fourth proportional to 152,514.16, 210,469.40 and 85,446.64 is: 117,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,514.16 : 210,469.40 = 85,446.64 : x
  2. Step 2: Convert to fraction form
    152,514.16/210,469.40 = 85,446.64/x
  3. Step 3: Cross multiply
    152,514.16x = 210,469.40 × 85,446.64
  4. Step 4: Simplify right side
    152,514.16x = 17,983,903,052.82
  5. Step 5: Solve for x
    x = 17,983,903,052.82/152,514.16
  6. Step 6: Final answer
    x = 117,916.28

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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.