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Finding the Fourth Proportional to 186,522.63, 257,400.42 and 101,639.70

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Solution

The fourth proportional to 186,522.63, 257,400.42 and 101,639.70 is: 140,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,522.63 : 257,400.42 = 101,639.70 : x
  2. Step 2: Convert to fraction form
    186,522.63/257,400.42 = 101,639.70/x
  3. Step 3: Cross multiply
    186,522.63x = 257,400.42 × 101,639.70
  4. Step 4: Simplify right side
    186,522.63x = 26,162,101,468.67
  5. Step 5: Solve for x
    x = 26,162,101,468.67/186,522.63
  6. Step 6: Final answer
    x = 140,262.34

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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.