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Finding the Fourth Proportional to 105,154.68, 145,115.65 and 57,410.04

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Solution

The fourth proportional to 105,154.68, 145,115.65 and 57,410.04 is: 79,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154.68 : 145,115.65 = 57,410.04 : x
  2. Step 2: Convert to fraction form
    105,154.68/145,115.65 = 57,410.04/x
  3. Step 3: Cross multiply
    105,154.68x = 145,115.65 × 57,410.04
  4. Step 4: Simplify right side
    105,154.68x = 8,331,095,271.13
  5. Step 5: Solve for x
    x = 8,331,095,271.13/105,154.68
  6. Step 6: Final answer
    x = 79,227.05

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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.