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Finding the Fourth Proportional to 105,225.57, 145,209.47 and 57,477.69

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Solution

The fourth proportional to 105,225.57, 145,209.47 and 57,477.69 is: 79,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,225.57 : 145,209.47 = 57,477.69 : x
  2. Step 2: Convert to fraction form
    105,225.57/145,209.47 = 57,477.69/x
  3. Step 3: Cross multiply
    105,225.57x = 145,209.47 × 57,477.69
  4. Step 4: Simplify right side
    105,225.57x = 8,346,304,614.34
  5. Step 5: Solve for x
    x = 8,346,304,614.34/105,225.57
  6. Step 6: Final answer
    x = 79,318.22

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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.