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Finding the Fourth Proportional to 209,430.50, 314,276.96 and 84,771.50

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Solution

The fourth proportional to 209,430.50, 314,276.96 and 84,771.50 is: 127,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,430.50 : 314,276.96 = 84,771.50 : x
  2. Step 2: Convert to fraction form
    209,430.50/314,276.96 = 84,771.50/x
  3. Step 3: Cross multiply
    209,430.50x = 314,276.96 × 84,771.50
  4. Step 4: Simplify right side
    209,430.50x = 26,641,727,955.18
  5. Step 5: Solve for x
    x = 26,641,727,955.18/209,430.50
  6. Step 6: Final answer
    x = 127,210.36

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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.