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Finding the Fourth Proportional to 213,277.14, 319,905.54 and 53,354.16

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Solution

The fourth proportional to 213,277.14, 319,905.54 and 53,354.16 is: 80,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277.14 : 319,905.54 = 53,354.16 : x
  2. Step 2: Convert to fraction form
    213,277.14/319,905.54 = 53,354.16/x
  3. Step 3: Cross multiply
    213,277.14x = 319,905.54 × 53,354.16
  4. Step 4: Simplify right side
    213,277.14x = 17,068,291,366.05
  5. Step 5: Solve for x
    x = 17,068,291,366.05/213,277.14
  6. Step 6: Final answer
    x = 80,028.70

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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.