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Finding the Fourth Proportional to 151,838, 227,895.84 and 77,009.84

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Solution

The fourth proportional to 151,838, 227,895.84 and 77,009.84 is: 115,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,838 : 227,895.84 = 77,009.84 : x
  2. Step 2: Convert to fraction form
    151,838/227,895.84 = 77,009.84/x
  3. Step 3: Cross multiply
    151,838x = 227,895.84 × 77,009.84
  4. Step 4: Simplify right side
    151,838x = 17,550,222,175.07
  5. Step 5: Solve for x
    x = 17,550,222,175.07/151,838
  6. Step 6: Final answer
    x = 115,585.18

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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.