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Finding the Fourth Proportional to 302,810.55, 454,282.32 and 89,561.80

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Solution

The fourth proportional to 302,810.55, 454,282.32 and 89,561.80 is: 134,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,810.55 : 454,282.32 = 89,561.80 : x
  2. Step 2: Convert to fraction form
    302,810.55/454,282.32 = 89,561.80/x
  3. Step 3: Cross multiply
    302,810.55x = 454,282.32 × 89,561.80
  4. Step 4: Simplify right side
    302,810.55x = 40,686,343,191.09
  5. Step 5: Solve for x
    x = 40,686,343,191.09/302,810.55
  6. Step 6: Final answer
    x = 134,362.37

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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.