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Finding the Fourth Proportional to 302,523.74, 453,741.65 and 89,281.25

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Solution

The fourth proportional to 302,523.74, 453,741.65 and 89,281.25 is: 133,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,523.74 : 453,741.65 = 89,281.25 : x
  2. Step 2: Convert to fraction form
    302,523.74/453,741.65 = 89,281.25/x
  3. Step 3: Cross multiply
    302,523.74x = 453,741.65 × 89,281.25
  4. Step 4: Simplify right side
    302,523.74x = 40,510,618,973.95
  5. Step 5: Solve for x
    x = 40,510,618,973.95/302,523.74
  6. Step 6: Final answer
    x = 133,908.89

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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.