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Finding the Fourth Proportional to 105,256.90, 145,252.81 and 57,509.21

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Solution

The fourth proportional to 105,256.90, 145,252.81 and 57,509.21 is: 79,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,256.90 : 145,252.81 = 57,509.21 : x
  2. Step 2: Convert to fraction form
    105,256.90/145,252.81 = 57,509.21/x
  3. Step 3: Cross multiply
    105,256.90x = 145,252.81 × 57,509.21
  4. Step 4: Simplify right side
    105,256.90x = 8,353,374,353.38
  5. Step 5: Solve for x
    x = 8,353,374,353.38/105,256.90
  6. Step 6: Final answer
    x = 79,361.77

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Why These Related Problems?

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