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Finding the Fourth Proportional to 152,875.87, 210,961.60 and 84,897.16

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Solution

The fourth proportional to 152,875.87, 210,961.60 and 84,897.16 is: 117,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,875.87 : 210,961.60 = 84,897.16 : x
  2. Step 2: Convert to fraction form
    152,875.87/210,961.60 = 84,897.16/x
  3. Step 3: Cross multiply
    152,875.87x = 210,961.60 × 84,897.16
  4. Step 4: Simplify right side
    152,875.87x = 17,910,040,709.06
  5. Step 5: Solve for x
    x = 17,910,040,709.06/152,875.87
  6. Step 6: Final answer
    x = 117,154.14

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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.