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Finding the Fourth Proportional to 128,031.40, 192,047.10 and 65,823.40

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Solution

The fourth proportional to 128,031.40, 192,047.10 and 65,823.40 is: 98,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,031.40 : 192,047.10 = 65,823.40 : x
  2. Step 2: Convert to fraction form
    128,031.40/192,047.10 = 65,823.40/x
  3. Step 3: Cross multiply
    128,031.40x = 192,047.10 × 65,823.40
  4. Step 4: Simplify right side
    128,031.40x = 12,641,193,082.14
  5. Step 5: Solve for x
    x = 12,641,193,082.14/128,031.40
  6. Step 6: Final answer
    x = 98,735.10

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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.