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Finding the Fourth Proportional to 147,020.76, 202,813.88 and 96,063.30

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Solution

The fourth proportional to 147,020.76, 202,813.88 and 96,063.30 is: 132,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,020.76 : 202,813.88 = 96,063.30 : x
  2. Step 2: Convert to fraction form
    147,020.76/202,813.88 = 96,063.30/x
  3. Step 3: Cross multiply
    147,020.76x = 202,813.88 × 96,063.30
  4. Step 4: Simplify right side
    147,020.76x = 19,482,970,118.29
  5. Step 5: Solve for x
    x = 19,482,970,118.29/147,020.76
  6. Step 6: Final answer
    x = 132,518.50

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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.