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Finding the Fourth Proportional to 103,165.48, 142,430.46 and 67,415.32

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Solution

The fourth proportional to 103,165.48, 142,430.46 and 67,415.32 is: 93,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.48 : 142,430.46 = 67,415.32 : x
  2. Step 2: Convert to fraction form
    103,165.48/142,430.46 = 67,415.32/x
  3. Step 3: Cross multiply
    103,165.48x = 142,430.46 × 67,415.32
  4. Step 4: Simplify right side
    103,165.48x = 9,601,995,038.65
  5. Step 5: Solve for x
    x = 9,601,995,038.65/103,165.48
  6. Step 6: Final answer
    x = 93,073.72

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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.