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Finding the Fourth Proportional to 186,257.25, 257,035.01 and 101,374.92

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Solution

The fourth proportional to 186,257.25, 257,035.01 and 101,374.92 is: 139,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,257.25 : 257,035.01 = 101,374.92 : x
  2. Step 2: Convert to fraction form
    186,257.25/257,035.01 = 101,374.92/x
  3. Step 3: Cross multiply
    186,257.25x = 257,035.01 × 101,374.92
  4. Step 4: Simplify right side
    186,257.25x = 26,056,903,069.07
  5. Step 5: Solve for x
    x = 26,056,903,069.07/186,257.25
  6. Step 6: Final answer
    x = 139,897.39

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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.