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Finding the Fourth Proportional to 105,199.66, 145,176.68 and 57,454.40

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Solution

The fourth proportional to 105,199.66, 145,176.68 and 57,454.40 is: 79,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,199.66 : 145,176.68 = 57,454.40 : x
  2. Step 2: Convert to fraction form
    105,199.66/145,176.68 = 57,454.40/x
  3. Step 3: Cross multiply
    105,199.66x = 145,176.68 × 57,454.40
  4. Step 4: Simplify right side
    105,199.66x = 8,341,039,043.39
  5. Step 5: Solve for x
    x = 8,341,039,043.39/105,199.66
  6. Step 6: Final answer
    x = 79,287.70

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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.