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Finding the Fourth Proportional to 146,430.88, 202,077.84 and 89,808.80

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Solution

The fourth proportional to 146,430.88, 202,077.84 and 89,808.80 is: 123,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,430.88 : 202,077.84 = 89,808.80 : x
  2. Step 2: Convert to fraction form
    146,430.88/202,077.84 = 89,808.80/x
  3. Step 3: Cross multiply
    146,430.88x = 202,077.84 × 89,808.80
  4. Step 4: Simplify right side
    146,430.88x = 18,148,368,316.99
  5. Step 5: Solve for x
    x = 18,148,368,316.99/146,430.88
  6. Step 6: Final answer
    x = 123,938.12

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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.