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Finding the Fourth Proportional to 174,026.30, 260,693.85 and 103,696.70

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Solution

The fourth proportional to 174,026.30, 260,693.85 and 103,696.70 is: 155,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,026.30 : 260,693.85 = 103,696.70 : x
  2. Step 2: Convert to fraction form
    174,026.30/260,693.85 = 103,696.70/x
  3. Step 3: Cross multiply
    174,026.30x = 260,693.85 × 103,696.70
  4. Step 4: Simplify right side
    174,026.30x = 27,033,091,955.30
  5. Step 5: Solve for x
    x = 27,033,091,955.30/174,026.30
  6. Step 6: Final answer
    x = 155,339.12

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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.