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Finding the Fourth Proportional to 152,188, 210,020.16 and 85,120

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Solution

The fourth proportional to 152,188, 210,020.16 and 85,120 is: 117,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,188 : 210,020.16 = 85,120 : x
  2. Step 2: Convert to fraction form
    152,188/210,020.16 = 85,120/x
  3. Step 3: Cross multiply
    152,188x = 210,020.16 × 85,120
  4. Step 4: Simplify right side
    152,188x = 17,876,916,019.20
  5. Step 5: Solve for x
    x = 17,876,916,019.20/152,188
  6. Step 6: Final answer
    x = 117,466.00

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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.