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Finding the Fourth Proportional to 288,485.88, 432,730.44 and 78,125.64

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Solution

The fourth proportional to 288,485.88, 432,730.44 and 78,125.64 is: 117,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,485.88 : 432,730.44 = 78,125.64 : x
  2. Step 2: Convert to fraction form
    288,485.88/432,730.44 = 78,125.64/x
  3. Step 3: Cross multiply
    288,485.88x = 432,730.44 × 78,125.64
  4. Step 4: Simplify right side
    288,485.88x = 33,807,342,572.48
  5. Step 5: Solve for x
    x = 33,807,342,572.48/288,485.88
  6. Step 6: Final answer
    x = 117,188.90

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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.