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Finding the Fourth Proportional to 152,322.22, 210,204.49 and 85,254.22

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Solution

The fourth proportional to 152,322.22, 210,204.49 and 85,254.22 is: 117,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322.22 : 210,204.49 = 85,254.22 : x
  2. Step 2: Convert to fraction form
    152,322.22/210,204.49 = 85,254.22/x
  3. Step 3: Cross multiply
    152,322.22x = 210,204.49 × 85,254.22
  4. Step 4: Simplify right side
    152,322.22x = 17,920,818,358.15
  5. Step 5: Solve for x
    x = 17,920,818,358.15/152,322.22
  6. Step 6: Final answer
    x = 117,650.72

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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.