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Finding the Fourth Proportional to 151,385.64, 208,911.72 and 83,403.36

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Solution

The fourth proportional to 151,385.64, 208,911.72 and 83,403.36 is: 115,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,385.64 : 208,911.72 = 83,403.36 : x
  2. Step 2: Convert to fraction form
    151,385.64/208,911.72 = 83,403.36/x
  3. Step 3: Cross multiply
    151,385.64x = 208,911.72 × 83,403.36
  4. Step 4: Simplify right side
    151,385.64x = 17,423,939,391.38
  5. Step 5: Solve for x
    x = 17,423,939,391.38/151,385.64
  6. Step 6: Final answer
    x = 115,096.38

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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.