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Finding the Fourth Proportional to 253,411.64, 349,673.49 and 151,415.53

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Solution

The fourth proportional to 253,411.64, 349,673.49 and 151,415.53 is: 208,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,411.64 : 349,673.49 = 151,415.53 : x
  2. Step 2: Convert to fraction form
    253,411.64/349,673.49 = 151,415.53/x
  3. Step 3: Cross multiply
    253,411.64x = 349,673.49 × 151,415.53
  4. Step 4: Simplify right side
    253,411.64x = 52,945,995,941.12
  5. Step 5: Solve for x
    x = 52,945,995,941.12/253,411.64
  6. Step 6: Final answer
    x = 208,932.77

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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.