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Finding the Fourth Proportional to 288,188.72, 432,303.82 and 110,695.74

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Solution

The fourth proportional to 288,188.72, 432,303.82 and 110,695.74 is: 166,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,188.72 : 432,303.82 = 110,695.74 : x
  2. Step 2: Convert to fraction form
    288,188.72/432,303.82 = 110,695.74/x
  3. Step 3: Cross multiply
    288,188.72x = 432,303.82 × 110,695.74
  4. Step 4: Simplify right side
    288,188.72x = 47,854,191,259.73
  5. Step 5: Solve for x
    x = 47,854,191,259.73/288,188.72
  6. Step 6: Final answer
    x = 166,051.58

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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.