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Finding the Fourth Proportional to 253,229.55, 349,564.37 and 157,783.40

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Solution

The fourth proportional to 253,229.55, 349,564.37 and 157,783.40 is: 217,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229.55 : 349,564.37 = 157,783.40 : x
  2. Step 2: Convert to fraction form
    253,229.55/349,564.37 = 157,783.40/x
  3. Step 3: Cross multiply
    253,229.55x = 349,564.37 × 157,783.40
  4. Step 4: Simplify right side
    253,229.55x = 55,155,454,817.46
  5. Step 5: Solve for x
    x = 55,155,454,817.46/253,229.55
  6. Step 6: Final answer
    x = 217,808.13

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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.