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Finding the Fourth Proportional to 257,457.16, 385,682.96 and 122,328.92

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Solution

The fourth proportional to 257,457.16, 385,682.96 and 122,328.92 is: 183,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,457.16 : 385,682.96 = 122,328.92 : x
  2. Step 2: Convert to fraction form
    257,457.16/385,682.96 = 122,328.92/x
  3. Step 3: Cross multiply
    257,457.16x = 385,682.96 × 122,328.92
  4. Step 4: Simplify right side
    257,457.16x = 47,180,179,959.20
  5. Step 5: Solve for x
    x = 47,180,179,959.20/257,457.16
  6. Step 6: Final answer
    x = 183,254.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.