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Finding the Fourth Proportional to 186,599.34, 257,507.06 and 101,716.38

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Solution

The fourth proportional to 186,599.34, 257,507.06 and 101,716.38 is: 140,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,599.34 : 257,507.06 = 101,716.38 : x
  2. Step 2: Convert to fraction form
    186,599.34/257,507.06 = 101,716.38/x
  3. Step 3: Cross multiply
    186,599.34x = 257,507.06 × 101,716.38
  4. Step 4: Simplify right side
    186,599.34x = 26,192,685,459.06
  5. Step 5: Solve for x
    x = 26,192,685,459.06/186,599.34
  6. Step 6: Final answer
    x = 140,368.59

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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.