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Finding the Fourth Proportional to 152,407.82, 228,759.34 and 73,577.40

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Solution

The fourth proportional to 152,407.82, 228,759.34 and 73,577.40 is: 110,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.82 : 228,759.34 = 73,577.40 : x
  2. Step 2: Convert to fraction form
    152,407.82/228,759.34 = 73,577.40/x
  3. Step 3: Cross multiply
    152,407.82x = 228,759.34 × 73,577.40
  4. Step 4: Simplify right side
    152,407.82x = 16,831,517,462.92
  5. Step 5: Solve for x
    x = 16,831,517,462.92/152,407.82
  6. Step 6: Final answer
    x = 110,437.36

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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.