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Finding the Fourth Proportional to 156,703.40, 235,055.10 and 133,083.80

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Solution

The fourth proportional to 156,703.40, 235,055.10 and 133,083.80 is: 199,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,703.40 : 235,055.10 = 133,083.80 : x
  2. Step 2: Convert to fraction form
    156,703.40/235,055.10 = 133,083.80/x
  3. Step 3: Cross multiply
    156,703.40x = 235,055.10 × 133,083.80
  4. Step 4: Simplify right side
    156,703.40x = 31,282,025,917.38
  5. Step 5: Solve for x
    x = 31,282,025,917.38/156,703.40
  6. Step 6: Final answer
    x = 199,625.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.