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Finding the Fourth Proportional to 186,453.52, 257,307.56 and 112,867.64

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Solution

The fourth proportional to 186,453.52, 257,307.56 and 112,867.64 is: 155,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,453.52 : 257,307.56 = 112,867.64 : x
  2. Step 2: Convert to fraction form
    186,453.52/257,307.56 = 112,867.64/x
  3. Step 3: Cross multiply
    186,453.52x = 257,307.56 × 112,867.64
  4. Step 4: Simplify right side
    186,453.52x = 29,041,698,353.43
  5. Step 5: Solve for x
    x = 29,041,698,353.43/186,453.52
  6. Step 6: Final answer
    x = 155,758.38

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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.