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Finding the Fourth Proportional to 259,795.17, 358,415.34 and 150,880.98

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Solution

The fourth proportional to 259,795.17, 358,415.34 and 150,880.98 is: 208,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,795.17 : 358,415.34 = 150,880.98 : x
  2. Step 2: Convert to fraction form
    259,795.17/358,415.34 = 150,880.98/x
  3. Step 3: Cross multiply
    259,795.17x = 358,415.34 × 150,880.98
  4. Step 4: Simplify right side
    259,795.17x = 54,078,057,746.23
  5. Step 5: Solve for x
    x = 54,078,057,746.23/259,795.17
  6. Step 6: Final answer
    x = 208,156.52

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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.