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Finding the Fourth Proportional to 119,457.31, 164,850.08 and 67,784.28

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Solution

The fourth proportional to 119,457.31, 164,850.08 and 67,784.28 is: 93,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,457.31 : 164,850.08 = 67,784.28 : x
  2. Step 2: Convert to fraction form
    119,457.31/164,850.08 = 67,784.28/x
  3. Step 3: Cross multiply
    119,457.31x = 164,850.08 × 67,784.28
  4. Step 4: Simplify right side
    119,457.31x = 11,174,243,641.82
  5. Step 5: Solve for x
    x = 11,174,243,641.82/119,457.31
  6. Step 6: Final answer
    x = 93,541.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.