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Finding the Fourth Proportional to 242,494.83, 363,461.57 and 114,492.28

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Solution

The fourth proportional to 242,494.83, 363,461.57 and 114,492.28 is: 171,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,494.83 : 363,461.57 = 114,492.28 : x
  2. Step 2: Convert to fraction form
    242,494.83/363,461.57 = 114,492.28/x
  3. Step 3: Cross multiply
    242,494.83x = 363,461.57 × 114,492.28
  4. Step 4: Simplify right side
    242,494.83x = 41,613,543,779.36
  5. Step 5: Solve for x
    x = 41,613,543,779.36/242,494.83
  6. Step 6: Final answer
    x = 171,605.90

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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.