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Finding the Fourth Proportional to 103,004.12, 153,733.89 and 96,278.12

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Solution

The fourth proportional to 103,004.12, 153,733.89 and 96,278.12 is: 143,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,004.12 : 153,733.89 = 96,278.12 : x
  2. Step 2: Convert to fraction form
    103,004.12/153,733.89 = 96,278.12/x
  3. Step 3: Cross multiply
    103,004.12x = 153,733.89 × 96,278.12
  4. Step 4: Simplify right side
    103,004.12x = 14,801,209,909.49
  5. Step 5: Solve for x
    x = 14,801,209,909.49/103,004.12
  6. Step 6: Final answer
    x = 143,695.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.