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Finding the Fourth Proportional to 144,950.32, 200,040.16 and 81,291.76

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Solution

The fourth proportional to 144,950.32, 200,040.16 and 81,291.76 is: 112,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,950.32 : 200,040.16 = 81,291.76 : x
  2. Step 2: Convert to fraction form
    144,950.32/200,040.16 = 81,291.76/x
  3. Step 3: Cross multiply
    144,950.32x = 200,040.16 × 81,291.76
  4. Step 4: Simplify right side
    144,950.32x = 16,261,616,677.08
  5. Step 5: Solve for x
    x = 16,261,616,677.08/144,950.32
  6. Step 6: Final answer
    x = 112,187.52

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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.