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Finding the Fourth Proportional to 174,029.30, 260,698.35 and 103,699.70

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Solution

The fourth proportional to 174,029.30, 260,698.35 and 103,699.70 is: 155,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,029.30 : 260,698.35 = 103,699.70 : x
  2. Step 2: Convert to fraction form
    174,029.30/260,698.35 = 103,699.70/x
  3. Step 3: Cross multiply
    174,029.30x = 260,698.35 × 103,699.70
  4. Step 4: Simplify right side
    174,029.30x = 27,034,340,685.50
  5. Step 5: Solve for x
    x = 27,034,340,685.50/174,029.30
  6. Step 6: Final answer
    x = 155,343.62

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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.