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Finding the Fourth Proportional to 114,454.96, 157,878.08 and 75,692.72

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Solution

The fourth proportional to 114,454.96, 157,878.08 and 75,692.72 is: 104,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,454.96 : 157,878.08 = 75,692.72 : x
  2. Step 2: Convert to fraction form
    114,454.96/157,878.08 = 75,692.72/x
  3. Step 3: Cross multiply
    114,454.96x = 157,878.08 × 75,692.72
  4. Step 4: Simplify right side
    114,454.96x = 11,950,221,303.58
  5. Step 5: Solve for x
    x = 11,950,221,303.58/114,454.96
  6. Step 6: Final answer
    x = 104,409.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.