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Finding the Fourth Proportional to 186,459.68, 257,332.95 and 113,858.57

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Solution

The fourth proportional to 186,459.68, 257,332.95 and 113,858.57 is: 157,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,459.68 : 257,332.95 = 113,858.57 : x
  2. Step 2: Convert to fraction form
    186,459.68/257,332.95 = 113,858.57/x
  3. Step 3: Cross multiply
    186,459.68x = 257,332.95 × 113,858.57
  4. Step 4: Simplify right side
    186,459.68x = 29,299,561,131.59
  5. Step 5: Solve for x
    x = 29,299,561,131.59/186,459.68
  6. Step 6: Final answer
    x = 157,136.18

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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.