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Finding the Fourth Proportional to 285,101.40, 427,747.12 and 95,580.52

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Solution

The fourth proportional to 285,101.40, 427,747.12 and 95,580.52 is: 143,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,101.40 : 427,747.12 = 95,580.52 : x
  2. Step 2: Convert to fraction form
    285,101.40/427,747.12 = 95,580.52/x
  3. Step 3: Cross multiply
    285,101.40x = 427,747.12 × 95,580.52
  4. Step 4: Simplify right side
    285,101.40x = 40,884,292,158.10
  5. Step 5: Solve for x
    x = 40,884,292,158.10/285,101.40
  6. Step 6: Final answer
    x = 143,402.64

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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.