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Finding the Fourth Proportional to 285,101.14, 427,746.72 and 95,580.24

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Solution

The fourth proportional to 285,101.14, 427,746.72 and 95,580.24 is: 143,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,101.14 : 427,746.72 = 95,580.24 : x
  2. Step 2: Convert to fraction form
    285,101.14/427,746.72 = 95,580.24/x
  3. Step 3: Cross multiply
    285,101.14x = 427,746.72 × 95,580.24
  4. Step 4: Simplify right side
    285,101.14x = 40,884,134,156.81
  5. Step 5: Solve for x
    x = 40,884,134,156.81/285,101.14
  6. Step 6: Final answer
    x = 143,402.21

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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.