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Finding the Fourth Proportional to 152,462.88, 228,657.42 and 63,668.16

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Solution

The fourth proportional to 152,462.88, 228,657.42 and 63,668.16 is: 95,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,462.88 : 228,657.42 = 63,668.16 : x
  2. Step 2: Convert to fraction form
    152,462.88/228,657.42 = 63,668.16/x
  3. Step 3: Cross multiply
    152,462.88x = 228,657.42 × 63,668.16
  4. Step 4: Simplify right side
    152,462.88x = 14,558,197,201.75
  5. Step 5: Solve for x
    x = 14,558,197,201.75/152,462.88
  6. Step 6: Final answer
    x = 95,486.83

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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.