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Finding the Fourth Proportional to 224,497.38, 309,813.66 and 127,698.69

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Solution

The fourth proportional to 224,497.38, 309,813.66 and 127,698.69 is: 176,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,497.38 : 309,813.66 = 127,698.69 : x
  2. Step 2: Convert to fraction form
    224,497.38/309,813.66 = 127,698.69/x
  3. Step 3: Cross multiply
    224,497.38x = 309,813.66 × 127,698.69
  4. Step 4: Simplify right side
    224,497.38x = 39,562,798,526.11
  5. Step 5: Solve for x
    x = 39,562,798,526.11/224,497.38
  6. Step 6: Final answer
    x = 176,228.33

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1.5x scale

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.