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Finding the Fourth Proportional to 186,296.52, 257,089.20 and 101,414.20

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Solution

The fourth proportional to 186,296.52, 257,089.20 and 101,414.20 is: 139,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,296.52 : 257,089.20 = 101,414.20 : x
  2. Step 2: Convert to fraction form
    186,296.52/257,089.20 = 101,414.20/x
  3. Step 3: Cross multiply
    186,296.52x = 257,089.20 × 101,414.20
  4. Step 4: Simplify right side
    186,296.52x = 26,072,495,546.64
  5. Step 5: Solve for x
    x = 26,072,495,546.64/186,296.52
  6. Step 6: Final answer
    x = 139,951.60

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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.