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Finding the Fourth Proportional to 178,104.32, 245,644.80 and 114,447.68

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Solution

The fourth proportional to 178,104.32, 245,644.80 and 114,447.68 is: 157,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,104.32 : 245,644.80 = 114,447.68 : x
  2. Step 2: Convert to fraction form
    178,104.32/245,644.80 = 114,447.68/x
  3. Step 3: Cross multiply
    178,104.32x = 245,644.80 × 114,447.68
  4. Step 4: Simplify right side
    178,104.32x = 28,113,477,464.06
  5. Step 5: Solve for x
    x = 28,113,477,464.06/178,104.32
  6. Step 6: Final answer
    x = 157,848.37

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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.