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Finding the Fourth Proportional to 186,921, 257,948.64 and 106,348.32

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Solution

The fourth proportional to 186,921, 257,948.64 and 106,348.32 is: 146,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921 : 257,948.64 = 106,348.32 : x
  2. Step 2: Convert to fraction form
    186,921/257,948.64 = 106,348.32/x
  3. Step 3: Cross multiply
    186,921x = 257,948.64 × 106,348.32
  4. Step 4: Simplify right side
    186,921x = 27,432,404,510.28
  5. Step 5: Solve for x
    x = 27,432,404,510.28/186,921
  6. Step 6: Final answer
    x = 146,759.35

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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.