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Finding the Fourth Proportional to 105,909.75, 158,941.08 and 61,477.20

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Solution

The fourth proportional to 105,909.75, 158,941.08 and 61,477.20 is: 92,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909.75 : 158,941.08 = 61,477.20 : x
  2. Step 2: Convert to fraction form
    105,909.75/158,941.08 = 61,477.20/x
  3. Step 3: Cross multiply
    105,909.75x = 158,941.08 × 61,477.20
  4. Step 4: Simplify right side
    105,909.75x = 9,771,252,563.38
  5. Step 5: Solve for x
    x = 9,771,252,563.38/105,909.75
  6. Step 6: Final answer
    x = 92,260.18

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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.