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Finding the Fourth Proportional to 152,402.56, 210,315.20 and 85,334.56

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Solution

The fourth proportional to 152,402.56, 210,315.20 and 85,334.56 is: 117,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402.56 : 210,315.20 = 85,334.56 : x
  2. Step 2: Convert to fraction form
    152,402.56/210,315.20 = 85,334.56/x
  3. Step 3: Cross multiply
    152,402.56x = 210,315.20 × 85,334.56
  4. Step 4: Simplify right side
    152,402.56x = 17,947,155,053.31
  5. Step 5: Solve for x
    x = 17,947,155,053.31/152,402.56
  6. Step 6: Final answer
    x = 117,761.51

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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.