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Finding the Fourth Proportional to 152,357.68, 228,551.64 and 52,504.48

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Solution

The fourth proportional to 152,357.68, 228,551.64 and 52,504.48 is: 78,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,357.68 : 228,551.64 = 52,504.48 : x
  2. Step 2: Convert to fraction form
    152,357.68/228,551.64 = 52,504.48/x
  3. Step 3: Cross multiply
    152,357.68x = 228,551.64 × 52,504.48
  4. Step 4: Simplify right side
    152,357.68x = 11,999,985,011.35
  5. Step 5: Solve for x
    x = 11,999,985,011.35/152,357.68
  6. Step 6: Final answer
    x = 78,761.93

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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.