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Finding the Fourth Proportional to 167,827.80, 251,741.70 and 96,871.80

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Solution

The fourth proportional to 167,827.80, 251,741.70 and 96,871.80 is: 145,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,827.80 : 251,741.70 = 96,871.80 : x
  2. Step 2: Convert to fraction form
    167,827.80/251,741.70 = 96,871.80/x
  3. Step 3: Cross multiply
    167,827.80x = 251,741.70 × 96,871.80
  4. Step 4: Simplify right side
    167,827.80x = 24,386,671,614.06
  5. Step 5: Solve for x
    x = 24,386,671,614.06/167,827.80
  6. Step 6: Final answer
    x = 145,307.70

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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.