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Finding the Fourth Proportional to 156,814.72, 216,494 and 103,255.36

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Solution

The fourth proportional to 156,814.72, 216,494 and 103,255.36 is: 142,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,814.72 : 216,494 = 103,255.36 : x
  2. Step 2: Convert to fraction form
    156,814.72/216,494 = 103,255.36/x
  3. Step 3: Cross multiply
    156,814.72x = 216,494 × 103,255.36
  4. Step 4: Simplify right side
    156,814.72x = 22,354,165,907.84
  5. Step 5: Solve for x
    x = 22,354,165,907.84/156,814.72
  6. Step 6: Final answer
    x = 142,551.45

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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.