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Finding the Fourth Proportional to 213,409.16, 320,114.88 and 63,648.24

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Solution

The fourth proportional to 213,409.16, 320,114.88 and 63,648.24 is: 95,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,409.16 : 320,114.88 = 63,648.24 : x
  2. Step 2: Convert to fraction form
    213,409.16/320,114.88 = 63,648.24/x
  3. Step 3: Cross multiply
    213,409.16x = 320,114.88 × 63,648.24
  4. Step 4: Simplify right side
    213,409.16x = 20,374,748,709.81
  5. Step 5: Solve for x
    x = 20,374,748,709.81/213,409.16
  6. Step 6: Final answer
    x = 95,472.70

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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.