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Finding the Fourth Proportional to 151,084.51, 208,482.15 and 83,100.40

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Solution

The fourth proportional to 151,084.51, 208,482.15 and 83,100.40 is: 114,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,084.51 : 208,482.15 = 83,100.40 : x
  2. Step 2: Convert to fraction form
    151,084.51/208,482.15 = 83,100.40/x
  3. Step 3: Cross multiply
    151,084.51x = 208,482.15 × 83,100.40
  4. Step 4: Simplify right side
    151,084.51x = 17,324,949,848.28
  5. Step 5: Solve for x
    x = 17,324,949,848.28/151,084.51
  6. Step 6: Final answer
    x = 114,670.59

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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.