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Finding the Fourth Proportional to 206,802.40, 310,203.60 and 88,485.70

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Solution

The fourth proportional to 206,802.40, 310,203.60 and 88,485.70 is: 132,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.40 : 310,203.60 = 88,485.70 : x
  2. Step 2: Convert to fraction form
    206,802.40/310,203.60 = 88,485.70/x
  3. Step 3: Cross multiply
    206,802.40x = 310,203.60 × 88,485.70
  4. Step 4: Simplify right side
    206,802.40x = 27,448,582,688.52
  5. Step 5: Solve for x
    x = 27,448,582,688.52/206,802.40
  6. Step 6: Final answer
    x = 132,728.55

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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.