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Finding the Fourth Proportional to 144,417.64, 199,216.26 and 83,981.64

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Solution

The fourth proportional to 144,417.64, 199,216.26 and 83,981.64 is: 115,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,417.64 : 199,216.26 = 83,981.64 : x
  2. Step 2: Convert to fraction form
    144,417.64/199,216.26 = 83,981.64/x
  3. Step 3: Cross multiply
    144,417.64x = 199,216.26 × 83,981.64
  4. Step 4: Simplify right side
    144,417.64x = 16,730,508,229.47
  5. Step 5: Solve for x
    x = 16,730,508,229.47/144,417.64
  6. Step 6: Final answer
    x = 115,848.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.