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Finding the Fourth Proportional to 152,502.21, 210,453.03 and 85,434.21

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Solution

The fourth proportional to 152,502.21, 210,453.03 and 85,434.21 is: 117,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,502.21 : 210,453.03 = 85,434.21 : x
  2. Step 2: Convert to fraction form
    152,502.21/210,453.03 = 85,434.21/x
  3. Step 3: Cross multiply
    152,502.21x = 210,453.03 × 85,434.21
  4. Step 4: Simplify right side
    152,502.21x = 17,979,888,360.16
  5. Step 5: Solve for x
    x = 17,979,888,360.16/152,502.21
  6. Step 6: Final answer
    x = 117,899.20

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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.