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Finding the Fourth Proportional to 104,585.40, 156,783.06 and 42,213.24

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Solution

The fourth proportional to 104,585.40, 156,783.06 and 42,213.24 is: 63,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,585.40 : 156,783.06 = 42,213.24 : x
  2. Step 2: Convert to fraction form
    104,585.40/156,783.06 = 42,213.24/x
  3. Step 3: Cross multiply
    104,585.40x = 156,783.06 × 42,213.24
  4. Step 4: Simplify right side
    104,585.40x = 6,618,320,939.71
  5. Step 5: Solve for x
    x = 6,618,320,939.71/104,585.40
  6. Step 6: Final answer
    x = 63,281.50

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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.