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Finding the Fourth Proportional to 254,457.90, 381,746.79 and 76,966.38

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Solution

The fourth proportional to 254,457.90, 381,746.79 and 76,966.38 is: 115,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,457.90 : 381,746.79 = 76,966.38 : x
  2. Step 2: Convert to fraction form
    254,457.90/381,746.79 = 76,966.38/x
  3. Step 3: Cross multiply
    254,457.90x = 381,746.79 × 76,966.38
  4. Step 4: Simplify right side
    254,457.90x = 29,381,668,502.92
  5. Step 5: Solve for x
    x = 29,381,668,502.92/254,457.90
  6. Step 6: Final answer
    x = 115,467.70

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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.