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Finding the Fourth Proportional to 144,884.16, 217,201.92 and 65,970.24

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Solution

The fourth proportional to 144,884.16, 217,201.92 and 65,970.24 is: 98,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,884.16 : 217,201.92 = 65,970.24 : x
  2. Step 2: Convert to fraction form
    144,884.16/217,201.92 = 65,970.24/x
  3. Step 3: Cross multiply
    144,884.16x = 217,201.92 × 65,970.24
  4. Step 4: Simplify right side
    144,884.16x = 14,328,862,790.86
  5. Step 5: Solve for x
    x = 14,328,862,790.86/144,884.16
  6. Step 6: Final answer
    x = 98,898.75

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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.