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Finding the Fourth Proportional to 137,097.26, 205,569.47 and 42,300.53

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Solution

The fourth proportional to 137,097.26, 205,569.47 and 42,300.53 is: 63,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.26 : 205,569.47 = 42,300.53 : x
  2. Step 2: Convert to fraction form
    137,097.26/205,569.47 = 42,300.53/x
  3. Step 3: Cross multiply
    137,097.26x = 205,569.47 × 42,300.53
  4. Step 4: Simplify right side
    137,097.26x = 8,695,696,504.97
  5. Step 5: Solve for x
    x = 8,695,696,504.97/137,097.26
  6. Step 6: Final answer
    x = 63,427.21

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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.