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Finding the Fourth Proportional to 209,875.40, 314,813.10 and 165,638.60

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Solution

The fourth proportional to 209,875.40, 314,813.10 and 165,638.60 is: 248,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,875.40 : 314,813.10 = 165,638.60 : x
  2. Step 2: Convert to fraction form
    209,875.40/314,813.10 = 165,638.60/x
  3. Step 3: Cross multiply
    209,875.40x = 314,813.10 × 165,638.60
  4. Step 4: Simplify right side
    209,875.40x = 52,145,201,145.66
  5. Step 5: Solve for x
    x = 52,145,201,145.66/209,875.40
  6. Step 6: Final answer
    x = 248,457.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.