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Finding the Fourth Proportional to 171,681.50, 236,931.40 and 96,230

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Solution

The fourth proportional to 171,681.50, 236,931.40 and 96,230 is: 132,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,681.50 : 236,931.40 = 96,230 : x
  2. Step 2: Convert to fraction form
    171,681.50/236,931.40 = 96,230/x
  3. Step 3: Cross multiply
    171,681.50x = 236,931.40 × 96,230
  4. Step 4: Simplify right side
    171,681.50x = 22,799,908,622
  5. Step 5: Solve for x
    x = 22,799,908,622/171,681.50
  6. Step 6: Final answer
    x = 132,803.53

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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.