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Finding the Fourth Proportional to 242,064.51, 362,851.50 and 121,757.94

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Solution

The fourth proportional to 242,064.51, 362,851.50 and 121,757.94 is: 182,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,064.51 : 362,851.50 = 121,757.94 : x
  2. Step 2: Convert to fraction form
    242,064.51/362,851.50 = 121,757.94/x
  3. Step 3: Cross multiply
    242,064.51x = 362,851.50 × 121,757.94
  4. Step 4: Simplify right side
    242,064.51x = 44,180,051,165.91
  5. Step 5: Solve for x
    x = 44,180,051,165.91/242,064.51
  6. Step 6: Final answer
    x = 182,513.54

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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.