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Finding the Fourth Proportional to 553,883.48, 830,824.92 and 133,159.24

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Solution

The fourth proportional to 553,883.48, 830,824.92 and 133,159.24 is: 199,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,883.48 : 830,824.92 = 133,159.24 : x
  2. Step 2: Convert to fraction form
    553,883.48/830,824.92 = 133,159.24/x
  3. Step 3: Cross multiply
    553,883.48x = 830,824.92 × 133,159.24
  4. Step 4: Simplify right side
    553,883.48x = 110,632,014,920.26
  5. Step 5: Solve for x
    x = 110,632,014,920.26/553,883.48
  6. Step 6: Final answer
    x = 199,738.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.