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Finding the Fourth Proportional to 119,457.89, 164,783.31 and 74,668.13

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Solution

The fourth proportional to 119,457.89, 164,783.31 and 74,668.13 is: 102,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,457.89 : 164,783.31 = 74,668.13 : x
  2. Step 2: Convert to fraction form
    119,457.89/164,783.31 = 74,668.13/x
  3. Step 3: Cross multiply
    119,457.89x = 164,783.31 × 74,668.13
  4. Step 4: Simplify right side
    119,457.89x = 12,304,060,788.99
  5. Step 5: Solve for x
    x = 12,304,060,788.99/119,457.89
  6. Step 6: Final answer
    x = 102,999.15

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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.