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Finding the Fourth Proportional to 105,207.40, 145,186 and 57,460.72

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Solution

The fourth proportional to 105,207.40, 145,186 and 57,460.72 is: 79,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,207.40 : 145,186 = 57,460.72 : x
  2. Step 2: Convert to fraction form
    105,207.40/145,186 = 57,460.72/x
  3. Step 3: Cross multiply
    105,207.40x = 145,186 × 57,460.72
  4. Step 4: Simplify right side
    105,207.40x = 8,342,492,093.92
  5. Step 5: Solve for x
    x = 8,342,492,093.92/105,207.40
  6. Step 6: Final answer
    x = 79,295.68

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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.