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Finding the Fourth Proportional to 261,264.46, 360,578.32 and 153,844.50

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Solution

The fourth proportional to 261,264.46, 360,578.32 and 153,844.50 is: 212,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,264.46 : 360,578.32 = 153,844.50 : x
  2. Step 2: Convert to fraction form
    261,264.46/360,578.32 = 153,844.50/x
  3. Step 3: Cross multiply
    261,264.46x = 360,578.32 × 153,844.50
  4. Step 4: Simplify right side
    261,264.46x = 55,472,991,351.24
  5. Step 5: Solve for x
    x = 55,472,991,351.24/261,264.46
  6. Step 6: Final answer
    x = 212,325.06

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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.