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Finding the Fourth Proportional to 103,762.32, 143,213.40 and 67,509.06

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Solution

The fourth proportional to 103,762.32, 143,213.40 and 67,509.06 is: 93,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,762.32 : 143,213.40 = 67,509.06 : x
  2. Step 2: Convert to fraction form
    103,762.32/143,213.40 = 67,509.06/x
  3. Step 3: Cross multiply
    103,762.32x = 143,213.40 × 67,509.06
  4. Step 4: Simplify right side
    103,762.32x = 9,668,202,013.40
  5. Step 5: Solve for x
    x = 9,668,202,013.40/103,762.32
  6. Step 6: Final answer
    x = 93,176.42

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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.