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Finding the Fourth Proportional to 285,082.94, 427,615.59 and 135,430.94

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Solution

The fourth proportional to 285,082.94, 427,615.59 and 135,430.94 is: 203,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,082.94 : 427,615.59 = 135,430.94 : x
  2. Step 2: Convert to fraction form
    285,082.94/427,615.59 = 135,430.94/x
  3. Step 3: Cross multiply
    285,082.94x = 427,615.59 × 135,430.94
  4. Step 4: Simplify right side
    285,082.94x = 57,912,381,312.35
  5. Step 5: Solve for x
    x = 57,912,381,312.35/285,082.94
  6. Step 6: Final answer
    x = 203,142.22

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1.5x scale

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.