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Finding the Fourth Proportional to 176,447.06, 264,521.80 and 76,532

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Solution

The fourth proportional to 176,447.06, 264,521.80 and 76,532 is: 114,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,447.06 : 264,521.80 = 76,532 : x
  2. Step 2: Convert to fraction form
    176,447.06/264,521.80 = 76,532/x
  3. Step 3: Cross multiply
    176,447.06x = 264,521.80 × 76,532
  4. Step 4: Simplify right side
    176,447.06x = 20,244,382,397.60
  5. Step 5: Solve for x
    x = 20,244,382,397.60/176,447.06
  6. Step 6: Final answer
    x = 114,733.46

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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.