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Finding the Fourth Proportional to 231,547.60, 347,321.40 and 83,784.40

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Solution

The fourth proportional to 231,547.60, 347,321.40 and 83,784.40 is: 125,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,547.60 : 347,321.40 = 83,784.40 : x
  2. Step 2: Convert to fraction form
    231,547.60/347,321.40 = 83,784.40/x
  3. Step 3: Cross multiply
    231,547.60x = 347,321.40 × 83,784.40
  4. Step 4: Simplify right side
    231,547.60x = 29,100,115,106.16
  5. Step 5: Solve for x
    x = 29,100,115,106.16/231,547.60
  6. Step 6: Final answer
    x = 125,676.60

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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.