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Finding the Fourth Proportional to 96,081.30, 143,733.15 and 84,417.30

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Solution

The fourth proportional to 96,081.30, 143,733.15 and 84,417.30 is: 126,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,081.30 : 143,733.15 = 84,417.30 : x
  2. Step 2: Convert to fraction form
    96,081.30/143,733.15 = 84,417.30/x
  3. Step 3: Cross multiply
    96,081.30x = 143,733.15 × 84,417.30
  4. Step 4: Simplify right side
    96,081.30x = 12,133,564,443.50
  5. Step 5: Solve for x
    x = 12,133,564,443.50/96,081.30
  6. Step 6: Final answer
    x = 126,284.35

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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.