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Finding the Fourth Proportional to 106,843.60, 160,265.40 and 51,547.60

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Solution

The fourth proportional to 106,843.60, 160,265.40 and 51,547.60 is: 77,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.60 : 160,265.40 = 51,547.60 : x
  2. Step 2: Convert to fraction form
    106,843.60/160,265.40 = 51,547.60/x
  3. Step 3: Cross multiply
    106,843.60x = 160,265.40 × 51,547.60
  4. Step 4: Simplify right side
    106,843.60x = 8,261,296,733.04
  5. Step 5: Solve for x
    x = 8,261,296,733.04/106,843.60
  6. Step 6: Final answer
    x = 77,321.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.