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Finding the Fourth Proportional to 253,032.96, 349,047.25 and 162,287.94

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Solution

The fourth proportional to 253,032.96, 349,047.25 and 162,287.94 is: 223,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,032.96 : 349,047.25 = 162,287.94 : x
  2. Step 2: Convert to fraction form
    253,032.96/349,047.25 = 162,287.94/x
  3. Step 3: Cross multiply
    253,032.96x = 349,047.25 × 162,287.94
  4. Step 4: Simplify right side
    253,032.96x = 56,646,158,759.45
  5. Step 5: Solve for x
    x = 56,646,158,759.45/253,032.96
  6. Step 6: Final answer
    x = 223,868.70

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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.