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Finding the Fourth Proportional to 186,459.93, 257,333.29 and 113,858.82

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Solution

The fourth proportional to 186,459.93, 257,333.29 and 113,858.82 is: 157,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,459.93 : 257,333.29 = 113,858.82 : x
  2. Step 2: Convert to fraction form
    186,459.93/257,333.29 = 113,858.82/x
  3. Step 3: Cross multiply
    186,459.93x = 257,333.29 × 113,858.82
  4. Step 4: Simplify right side
    186,459.93x = 29,299,664,461.47
  5. Step 5: Solve for x
    x = 29,299,664,461.47/186,459.93
  6. Step 6: Final answer
    x = 157,136.52

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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.