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Finding the Fourth Proportional to 186,461.68, 257,335.71 and 113,860.57

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Solution

The fourth proportional to 186,461.68, 257,335.71 and 113,860.57 is: 157,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,461.68 : 257,335.71 = 113,860.57 : x
  2. Step 2: Convert to fraction form
    186,461.68/257,335.71 = 113,860.57/x
  3. Step 3: Cross multiply
    186,461.68x = 257,335.71 × 113,860.57
  4. Step 4: Simplify right side
    186,461.68x = 29,300,390,621.95
  5. Step 5: Solve for x
    x = 29,300,390,621.95/186,461.68
  6. Step 6: Final answer
    x = 157,138.94

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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.