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Finding the Fourth Proportional to 151,653.47, 209,282.51 and 83,671.25

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Solution

The fourth proportional to 151,653.47, 209,282.51 and 83,671.25 is: 115,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,653.47 : 209,282.51 = 83,671.25 : x
  2. Step 2: Convert to fraction form
    151,653.47/209,282.51 = 83,671.25/x
  3. Step 3: Cross multiply
    151,653.47x = 209,282.51 × 83,671.25
  4. Step 4: Simplify right side
    151,653.47x = 17,510,929,214.84
  5. Step 5: Solve for x
    x = 17,510,929,214.84/151,653.47
  6. Step 6: Final answer
    x = 115,466.72

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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.