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Finding the Fourth Proportional to 174,784.32, 260,990.88 and 138,842.19

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Solution

The fourth proportional to 174,784.32, 260,990.88 and 138,842.19 is: 207,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,784.32 : 260,990.88 = 138,842.19 : x
  2. Step 2: Convert to fraction form
    174,784.32/260,990.88 = 138,842.19/x
  3. Step 3: Cross multiply
    174,784.32x = 260,990.88 × 138,842.19
  4. Step 4: Simplify right side
    174,784.32x = 36,236,545,349.23
  5. Step 5: Solve for x
    x = 36,236,545,349.23/174,784.32
  6. Step 6: Final answer
    x = 207,321.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.