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Finding the Fourth Proportional to 151,886.49, 209,602.51 and 83,908.14

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Solution

The fourth proportional to 151,886.49, 209,602.51 and 83,908.14 is: 115,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,886.49 : 209,602.51 = 83,908.14 : x
  2. Step 2: Convert to fraction form
    151,886.49/209,602.51 = 83,908.14/x
  3. Step 3: Cross multiply
    151,886.49x = 209,602.51 × 83,908.14
  4. Step 4: Simplify right side
    151,886.49x = 17,587,356,753.43
  5. Step 5: Solve for x
    x = 17,587,356,753.43/151,886.49
  6. Step 6: Final answer
    x = 115,792.77

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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.