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Finding the Fourth Proportional to 114,745.20, 171,875.88 and 52,468.08

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Solution

The fourth proportional to 114,745.20, 171,875.88 and 52,468.08 is: 78,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,745.20 : 171,875.88 = 52,468.08 : x
  2. Step 2: Convert to fraction form
    114,745.20/171,875.88 = 52,468.08/x
  3. Step 3: Cross multiply
    114,745.20x = 171,875.88 × 52,468.08
  4. Step 4: Simplify right side
    114,745.20x = 9,017,997,421.91
  5. Step 5: Solve for x
    x = 9,017,997,421.91/114,745.20
  6. Step 6: Final answer
    x = 78,591.50

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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.