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Finding the Fourth Proportional to 128,742.64, 193,114.08 and 73,222

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Solution

The fourth proportional to 128,742.64, 193,114.08 and 73,222 is: 109,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,742.64 : 193,114.08 = 73,222 : x
  2. Step 2: Convert to fraction form
    128,742.64/193,114.08 = 73,222/x
  3. Step 3: Cross multiply
    128,742.64x = 193,114.08 × 73,222
  4. Step 4: Simplify right side
    128,742.64x = 14,140,199,165.76
  5. Step 5: Solve for x
    x = 14,140,199,165.76/128,742.64
  6. Step 6: Final answer
    x = 109,833.07

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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.