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Finding the Fourth Proportional to 213,645.60, 320,468.40 and 133,929.45

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Solution

The fourth proportional to 213,645.60, 320,468.40 and 133,929.45 is: 200,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,645.60 : 320,468.40 = 133,929.45 : x
  2. Step 2: Convert to fraction form
    213,645.60/320,468.40 = 133,929.45/x
  3. Step 3: Cross multiply
    213,645.60x = 320,468.40 × 133,929.45
  4. Step 4: Simplify right side
    213,645.60x = 42,920,156,554.38
  5. Step 5: Solve for x
    x = 42,920,156,554.38/213,645.60
  6. Step 6: Final answer
    x = 200,894.18

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1.5x scale

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.