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Finding the Fourth Proportional to 242,808.55, 364,317.90 and 130,357.60

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Solution

The fourth proportional to 242,808.55, 364,317.90 and 130,357.60 is: 195,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,808.55 : 364,317.90 = 130,357.60 : x
  2. Step 2: Convert to fraction form
    242,808.55/364,317.90 = 130,357.60/x
  3. Step 3: Cross multiply
    242,808.55x = 364,317.90 × 130,357.60
  4. Step 4: Simplify right side
    242,808.55x = 47,491,607,081.04
  5. Step 5: Solve for x
    x = 47,491,607,081.04/242,808.55
  6. Step 6: Final answer
    x = 195,592.81

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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.