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Finding the Fourth Proportional to 152,187, 210,018.78 and 85,119

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Solution

The fourth proportional to 152,187, 210,018.78 and 85,119 is: 117,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,187 : 210,018.78 = 85,119 : x
  2. Step 2: Convert to fraction form
    152,187/210,018.78 = 85,119/x
  3. Step 3: Cross multiply
    152,187x = 210,018.78 × 85,119
  4. Step 4: Simplify right side
    152,187x = 17,876,588,534.82
  5. Step 5: Solve for x
    x = 17,876,588,534.82/152,187
  6. Step 6: Final answer
    x = 117,464.62

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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.