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Finding the Fourth Proportional to 259,041.90, 388,651.08 and 158,042.16

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Solution

The fourth proportional to 259,041.90, 388,651.08 and 158,042.16 is: 237,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,041.90 : 388,651.08 = 158,042.16 : x
  2. Step 2: Convert to fraction form
    259,041.90/388,651.08 = 158,042.16/x
  3. Step 3: Cross multiply
    259,041.90x = 388,651.08 × 158,042.16
  4. Step 4: Simplify right side
    259,041.90x = 61,423,256,169.53
  5. Step 5: Solve for x
    x = 61,423,256,169.53/259,041.90
  6. Step 6: Final answer
    x = 237,117.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.