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Finding the Fourth Proportional to 142,128.57, 196,136.22 and 78,465

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Solution

The fourth proportional to 142,128.57, 196,136.22 and 78,465 is: 108,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128.57 : 196,136.22 = 78,465 : x
  2. Step 2: Convert to fraction form
    142,128.57/196,136.22 = 78,465/x
  3. Step 3: Cross multiply
    142,128.57x = 196,136.22 × 78,465
  4. Step 4: Simplify right side
    142,128.57x = 15,389,828,502.30
  5. Step 5: Solve for x
    x = 15,389,828,502.30/142,128.57
  6. Step 6: Final answer
    x = 108,281.03

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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.