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Finding the Fourth Proportional to 154,668.34, 213,457.29 and 86,696.86

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Solution

The fourth proportional to 154,668.34, 213,457.29 and 86,696.86 is: 119,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,668.34 : 213,457.29 = 86,696.86 : x
  2. Step 2: Convert to fraction form
    154,668.34/213,457.29 = 86,696.86/x
  3. Step 3: Cross multiply
    154,668.34x = 213,457.29 × 86,696.86
  4. Step 4: Simplify right side
    154,668.34x = 18,506,076,787.11
  5. Step 5: Solve for x
    x = 18,506,076,787.11/154,668.34
  6. Step 6: Final answer
    x = 119,650.06

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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.