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Finding the Fourth Proportional to 302,951.70, 454,427.55 and 103,205.70

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Solution

The fourth proportional to 302,951.70, 454,427.55 and 103,205.70 is: 154,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,951.70 : 454,427.55 = 103,205.70 : x
  2. Step 2: Convert to fraction form
    302,951.70/454,427.55 = 103,205.70/x
  3. Step 3: Cross multiply
    302,951.70x = 454,427.55 × 103,205.70
  4. Step 4: Simplify right side
    302,951.70x = 46,899,513,397.04
  5. Step 5: Solve for x
    x = 46,899,513,397.04/302,951.70
  6. Step 6: Final answer
    x = 154,808.55

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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.