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Finding the Fourth Proportional to 209,021.64, 288,495.18 and 128,518.20

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Solution

The fourth proportional to 209,021.64, 288,495.18 and 128,518.20 is: 177,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,021.64 : 288,495.18 = 128,518.20 : x
  2. Step 2: Convert to fraction form
    209,021.64/288,495.18 = 128,518.20/x
  3. Step 3: Cross multiply
    209,021.64x = 288,495.18 × 128,518.20
  4. Step 4: Simplify right side
    209,021.64x = 37,076,881,242.28
  5. Step 5: Solve for x
    x = 37,076,881,242.28/209,021.64
  6. Step 6: Final answer
    x = 177,382.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.