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Finding the Fourth Proportional to 175,655, 263,515.80 and 70,482.26

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Solution

The fourth proportional to 175,655, 263,515.80 and 70,482.26 is: 105,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,655 : 263,515.80 = 70,482.26 : x
  2. Step 2: Convert to fraction form
    175,655/263,515.80 = 70,482.26/x
  3. Step 3: Cross multiply
    175,655x = 263,515.80 × 70,482.26
  4. Step 4: Simplify right side
    175,655x = 18,573,189,129.71
  5. Step 5: Solve for x
    x = 18,573,189,129.71/175,655
  6. Step 6: Final answer
    x = 105,736.75

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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.