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Finding the Fourth Proportional to 161,928.52, 242,909.04 and 49,607.44

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Solution

The fourth proportional to 161,928.52, 242,909.04 and 49,607.44 is: 74,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,928.52 : 242,909.04 = 49,607.44 : x
  2. Step 2: Convert to fraction form
    161,928.52/242,909.04 = 49,607.44/x
  3. Step 3: Cross multiply
    161,928.52x = 242,909.04 × 49,607.44
  4. Step 4: Simplify right side
    161,928.52x = 12,050,095,627.26
  5. Step 5: Solve for x
    x = 12,050,095,627.26/161,928.52
  6. Step 6: Final answer
    x = 74,416.14

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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.