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Finding the Fourth Proportional to 186,302.70, 257,096.16 and 101,419.56

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Solution

The fourth proportional to 186,302.70, 257,096.16 and 101,419.56 is: 139,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,302.70 : 257,096.16 = 101,419.56 : x
  2. Step 2: Convert to fraction form
    186,302.70/257,096.16 = 101,419.56/x
  3. Step 3: Cross multiply
    186,302.70x = 257,096.16 × 101,419.56
  4. Step 4: Simplify right side
    186,302.70x = 26,074,579,424.89
  5. Step 5: Solve for x
    x = 26,074,579,424.89/186,302.70
  6. Step 6: Final answer
    x = 139,958.14

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1.5x scale

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.