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Finding the Fourth Proportional to 286,030.88, 429,191.92 and 117,680.48

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Solution

The fourth proportional to 286,030.88, 429,191.92 and 117,680.48 is: 176,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,030.88 : 429,191.92 = 117,680.48 : x
  2. Step 2: Convert to fraction form
    286,030.88/429,191.92 = 117,680.48/x
  3. Step 3: Cross multiply
    286,030.88x = 429,191.92 × 117,680.48
  4. Step 4: Simplify right side
    286,030.88x = 50,507,511,157.72
  5. Step 5: Solve for x
    x = 50,507,511,157.72/286,030.88
  6. Step 6: Final answer
    x = 176,580.62

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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.