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Finding the Fourth Proportional to 302,167.76, 453,256.86 and 102,493.31

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Solution

The fourth proportional to 302,167.76, 453,256.86 and 102,493.31 is: 153,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,167.76 : 453,256.86 = 102,493.31 : x
  2. Step 2: Convert to fraction form
    302,167.76/453,256.86 = 102,493.31/x
  3. Step 3: Cross multiply
    302,167.76x = 453,256.86 × 102,493.31
  4. Step 4: Simplify right side
    302,167.76x = 46,455,793,595.32
  5. Step 5: Solve for x
    x = 46,455,793,595.32/302,167.76
  6. Step 6: Final answer
    x = 153,741.73

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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.