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Finding the Fourth Proportional to 137,904.60, 207,051.30 and 85,416.60

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Solution

The fourth proportional to 137,904.60, 207,051.30 and 85,416.60 is: 128,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,904.60 : 207,051.30 = 85,416.60 : x
  2. Step 2: Convert to fraction form
    137,904.60/207,051.30 = 85,416.60/x
  3. Step 3: Cross multiply
    137,904.60x = 207,051.30 × 85,416.60
  4. Step 4: Simplify right side
    137,904.60x = 17,685,618,071.58
  5. Step 5: Solve for x
    x = 17,685,618,071.58/137,904.60
  6. Step 6: Final answer
    x = 128,245.31

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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.