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Finding the Fourth Proportional to 156,994.38, 216,423.63 and 119,203.02

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Solution

The fourth proportional to 156,994.38, 216,423.63 and 119,203.02 is: 164,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,994.38 : 216,423.63 = 119,203.02 : x
  2. Step 2: Convert to fraction form
    156,994.38/216,423.63 = 119,203.02/x
  3. Step 3: Cross multiply
    156,994.38x = 216,423.63 × 119,203.02
  4. Step 4: Simplify right side
    156,994.38x = 25,798,350,295.36
  5. Step 5: Solve for x
    x = 25,798,350,295.36/156,994.38
  6. Step 6: Final answer
    x = 164,326.58

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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.