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Finding the Fourth Proportional to 253,639.64, 349,943.33 and 146,195.16

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Solution

The fourth proportional to 253,639.64, 349,943.33 and 146,195.16 is: 201,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,639.64 : 349,943.33 = 146,195.16 : x
  2. Step 2: Convert to fraction form
    253,639.64/349,943.33 = 146,195.16/x
  3. Step 3: Cross multiply
    253,639.64x = 349,943.33 × 146,195.16
  4. Step 4: Simplify right side
    253,639.64x = 51,160,020,389.31
  5. Step 5: Solve for x
    x = 51,160,020,389.31/253,639.64
  6. Step 6: Final answer
    x = 201,703.57

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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.