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Finding the Fourth Proportional to 117,458.61, 176,186.38 and 28,712.89

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Solution

The fourth proportional to 117,458.61, 176,186.38 and 28,712.89 is: 43,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,458.61 : 176,186.38 = 28,712.89 : x
  2. Step 2: Convert to fraction form
    117,458.61/176,186.38 = 28,712.89/x
  3. Step 3: Cross multiply
    117,458.61x = 176,186.38 × 28,712.89
  4. Step 4: Simplify right side
    117,458.61x = 5,058,820,148.44
  5. Step 5: Solve for x
    x = 5,058,820,148.44/117,458.61
  6. Step 6: Final answer
    x = 43,068.96

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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.