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Finding the Fourth Proportional to 103,242.78, 142,422.53 and 67,453.74

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Solution

The fourth proportional to 103,242.78, 142,422.53 and 67,453.74 is: 93,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,242.78 : 142,422.53 = 67,453.74 : x
  2. Step 2: Convert to fraction form
    103,242.78/142,422.53 = 67,453.74/x
  3. Step 3: Cross multiply
    103,242.78x = 142,422.53 × 67,453.74
  4. Step 4: Simplify right side
    103,242.78x = 9,606,931,971.49
  5. Step 5: Solve for x
    x = 9,606,931,971.49/103,242.78
  6. Step 6: Final answer
    x = 93,051.85

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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.