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Finding the Fourth Proportional to 174,442.40, 261,970.80 and 135,095.20

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Solution

The fourth proportional to 174,442.40, 261,970.80 and 135,095.20 is: 202,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,442.40 : 261,970.80 = 135,095.20 : x
  2. Step 2: Convert to fraction form
    174,442.40/261,970.80 = 135,095.20/x
  3. Step 3: Cross multiply
    174,442.40x = 261,970.80 × 135,095.20
  4. Step 4: Simplify right side
    174,442.40x = 35,390,997,620.16
  5. Step 5: Solve for x
    x = 35,390,997,620.16/174,442.40
  6. Step 6: Final answer
    x = 202,880.71

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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.