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Finding the Fourth Proportional to 213,116.64, 294,120.24 and 128,220

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Solution

The fourth proportional to 213,116.64, 294,120.24 and 128,220 is: 176,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,116.64 : 294,120.24 = 128,220 : x
  2. Step 2: Convert to fraction form
    213,116.64/294,120.24 = 128,220/x
  3. Step 3: Cross multiply
    213,116.64x = 294,120.24 × 128,220
  4. Step 4: Simplify right side
    213,116.64x = 37,712,097,172.80
  5. Step 5: Solve for x
    x = 37,712,097,172.80/213,116.64
  6. Step 6: Final answer
    x = 176,955.20

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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.