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Finding the Fourth Proportional to 161,450.64, 242,176.50 and 56,196

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Solution

The fourth proportional to 161,450.64, 242,176.50 and 56,196 is: 84,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,450.64 : 242,176.50 = 56,196 : x
  2. Step 2: Convert to fraction form
    161,450.64/242,176.50 = 56,196/x
  3. Step 3: Cross multiply
    161,450.64x = 242,176.50 × 56,196
  4. Step 4: Simplify right side
    161,450.64x = 13,609,350,594
  5. Step 5: Solve for x
    x = 13,609,350,594/161,450.64
  6. Step 6: Final answer
    x = 84,294.19

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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.