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Finding the Fourth Proportional to 186,829.34, 257,830.71 and 101,951.06

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Solution

The fourth proportional to 186,829.34, 257,830.71 and 101,951.06 is: 140,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,829.34 : 257,830.71 = 101,951.06 : x
  2. Step 2: Convert to fraction form
    186,829.34/257,830.71 = 101,951.06/x
  3. Step 3: Cross multiply
    186,829.34x = 257,830.71 × 101,951.06
  4. Step 4: Simplify right side
    186,829.34x = 26,286,114,185.05
  5. Step 5: Solve for x
    x = 26,286,114,185.05/186,829.34
  6. Step 6: Final answer
    x = 140,695.86

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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.