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Finding the Fourth Proportional to 201,514.56, 302,337.28 and 96,341.60

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Solution

The fourth proportional to 201,514.56, 302,337.28 and 96,341.60 is: 144,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,514.56 : 302,337.28 = 96,341.60 : x
  2. Step 2: Convert to fraction form
    201,514.56/302,337.28 = 96,341.60/x
  3. Step 3: Cross multiply
    201,514.56x = 302,337.28 × 96,341.60
  4. Step 4: Simplify right side
    201,514.56x = 29,127,657,294.85
  5. Step 5: Solve for x
    x = 29,127,657,294.85/201,514.56
  6. Step 6: Final answer
    x = 144,543.69

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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.