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Finding the Fourth Proportional to 105,157.40, 157,604.84 and 52,581.92

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Solution

The fourth proportional to 105,157.40, 157,604.84 and 52,581.92 is: 78,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,157.40 : 157,604.84 = 52,581.92 : x
  2. Step 2: Convert to fraction form
    105,157.40/157,604.84 = 52,581.92/x
  3. Step 3: Cross multiply
    105,157.40x = 157,604.84 × 52,581.92
  4. Step 4: Simplify right side
    105,157.40x = 8,287,165,088.49
  5. Step 5: Solve for x
    x = 8,287,165,088.49/105,157.40
  6. Step 6: Final answer
    x = 78,807.25

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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.