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Finding the Fourth Proportional to 152,882.96, 210,955.64 and 85,802

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Solution

The fourth proportional to 152,882.96, 210,955.64 and 85,802 is: 118,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882.96 : 210,955.64 = 85,802 : x
  2. Step 2: Convert to fraction form
    152,882.96/210,955.64 = 85,802/x
  3. Step 3: Cross multiply
    152,882.96x = 210,955.64 × 85,802
  4. Step 4: Simplify right side
    152,882.96x = 18,100,415,823.28
  5. Step 5: Solve for x
    x = 18,100,415,823.28/152,882.96
  6. Step 6: Final answer
    x = 118,393.94

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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.