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Finding the Fourth Proportional to 128,007.24, 176,650.50 and 71,421

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Solution

The fourth proportional to 128,007.24, 176,650.50 and 71,421 is: 98,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,007.24 : 176,650.50 = 71,421 : x
  2. Step 2: Convert to fraction form
    128,007.24/176,650.50 = 71,421/x
  3. Step 3: Cross multiply
    128,007.24x = 176,650.50 × 71,421
  4. Step 4: Simplify right side
    128,007.24x = 12,616,555,360.50
  5. Step 5: Solve for x
    x = 12,616,555,360.50/128,007.24
  6. Step 6: Final answer
    x = 98,561.26

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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.