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Finding the Fourth Proportional to 213,551.73, 320,909.58 and 113,783.22

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Solution

The fourth proportional to 213,551.73, 320,909.58 and 113,783.22 is: 170,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,551.73 : 320,909.58 = 113,783.22 : x
  2. Step 2: Convert to fraction form
    213,551.73/320,909.58 = 113,783.22/x
  3. Step 3: Cross multiply
    213,551.73x = 320,909.58 × 113,783.22
  4. Step 4: Simplify right side
    213,551.73x = 36,514,125,341.25
  5. Step 5: Solve for x
    x = 36,514,125,341.25/213,551.73
  6. Step 6: Final answer
    x = 170,984.92

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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.