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Finding the Fourth Proportional to 161,807.14, 242,820.05 and 56,627.02

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Solution

The fourth proportional to 161,807.14, 242,820.05 and 56,627.02 is: 84,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.14 : 242,820.05 = 56,627.02 : x
  2. Step 2: Convert to fraction form
    161,807.14/242,820.05 = 56,627.02/x
  3. Step 3: Cross multiply
    161,807.14x = 242,820.05 × 56,627.02
  4. Step 4: Simplify right side
    161,807.14x = 13,750,175,827.75
  5. Step 5: Solve for x
    x = 13,750,175,827.75/161,807.14
  6. Step 6: Final answer
    x = 84,978.80

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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.