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Finding the Fourth Proportional to 223,509.70, 308,317.15 and 132,894.89

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Solution

The fourth proportional to 223,509.70, 308,317.15 and 132,894.89 is: 183,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,509.70 : 308,317.15 = 132,894.89 : x
  2. Step 2: Convert to fraction form
    223,509.70/308,317.15 = 132,894.89/x
  3. Step 3: Cross multiply
    223,509.70x = 308,317.15 × 132,894.89
  4. Step 4: Simplify right side
    223,509.70x = 40,973,772,767.55
  5. Step 5: Solve for x
    x = 40,973,772,767.55/223,509.70
  6. Step 6: Final answer
    x = 183,319.89

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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.