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Finding the Fourth Proportional to 302,045.62, 453,066.40 and 102,506.49

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Solution

The fourth proportional to 302,045.62, 453,066.40 and 102,506.49 is: 153,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,045.62 : 453,066.40 = 102,506.49 : x
  2. Step 2: Convert to fraction form
    302,045.62/453,066.40 = 102,506.49/x
  3. Step 3: Cross multiply
    302,045.62x = 453,066.40 × 102,506.49
  4. Step 4: Simplify right side
    302,045.62x = 46,442,246,400.94
  5. Step 5: Solve for x
    x = 46,442,246,400.94/302,045.62
  6. Step 6: Final answer
    x = 153,759.05

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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.