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Finding the Fourth Proportional to 128,022.30, 176,642.46 and 74,276.16

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Solution

The fourth proportional to 128,022.30, 176,642.46 and 74,276.16 is: 102,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022.30 : 176,642.46 = 74,276.16 : x
  2. Step 2: Convert to fraction form
    128,022.30/176,642.46 = 74,276.16/x
  3. Step 3: Cross multiply
    128,022.30x = 176,642.46 × 74,276.16
  4. Step 4: Simplify right side
    128,022.30x = 13,120,323,621.75
  5. Step 5: Solve for x
    x = 13,120,323,621.75/128,022.30
  6. Step 6: Final answer
    x = 102,484.67

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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.