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Finding the Fourth Proportional to 223,838.06, 335,746.16 and 83,585.75

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Solution

The fourth proportional to 223,838.06, 335,746.16 and 83,585.75 is: 125,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,838.06 : 335,746.16 = 83,585.75 : x
  2. Step 2: Convert to fraction form
    223,838.06/335,746.16 = 83,585.75/x
  3. Step 3: Cross multiply
    223,838.06x = 335,746.16 × 83,585.75
  4. Step 4: Simplify right side
    223,838.06x = 28,063,594,175.29
  5. Step 5: Solve for x
    x = 28,063,594,175.29/223,838.06
  6. Step 6: Final answer
    x = 125,374.54

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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.