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Finding the Fourth Proportional to 175,714.80, 263,507.40 and 86,938.80

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Solution

The fourth proportional to 175,714.80, 263,507.40 and 86,938.80 is: 130,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,714.80 : 263,507.40 = 86,938.80 : x
  2. Step 2: Convert to fraction form
    175,714.80/263,507.40 = 86,938.80/x
  3. Step 3: Cross multiply
    175,714.80x = 263,507.40 × 86,938.80
  4. Step 4: Simplify right side
    175,714.80x = 22,909,017,147.12
  5. Step 5: Solve for x
    x = 22,909,017,147.12/175,714.80
  6. Step 6: Final answer
    x = 130,376.14

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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.