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Finding the Fourth Proportional to 141,423.08, 195,164.58 and 77,765

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Solution

The fourth proportional to 141,423.08, 195,164.58 and 77,765 is: 107,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,423.08 : 195,164.58 = 77,765 : x
  2. Step 2: Convert to fraction form
    141,423.08/195,164.58 = 77,765/x
  3. Step 3: Cross multiply
    141,423.08x = 195,164.58 × 77,765
  4. Step 4: Simplify right side
    141,423.08x = 15,176,973,563.70
  5. Step 5: Solve for x
    x = 15,176,973,563.70/141,423.08
  6. Step 6: Final answer
    x = 107,316.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.