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Finding the Fourth Proportional to 259,468.30, 358,068.98 and 150,596.71

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Solution

The fourth proportional to 259,468.30, 358,068.98 and 150,596.71 is: 207,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,468.30 : 358,068.98 = 150,596.71 : x
  2. Step 2: Convert to fraction form
    259,468.30/358,068.98 = 150,596.71/x
  3. Step 3: Cross multiply
    259,468.30x = 358,068.98 × 150,596.71
  4. Step 4: Simplify right side
    259,468.30x = 53,924,010,341.06
  5. Step 5: Solve for x
    x = 53,924,010,341.06/259,468.30
  6. Step 6: Final answer
    x = 207,825.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.