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Finding the Fourth Proportional to 213,632.40, 320,420.76 and 55,873.02

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Solution

The fourth proportional to 213,632.40, 320,420.76 and 55,873.02 is: 83,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,632.40 : 320,420.76 = 55,873.02 : x
  2. Step 2: Convert to fraction form
    213,632.40/320,420.76 = 55,873.02/x
  3. Step 3: Cross multiply
    213,632.40x = 320,420.76 × 55,873.02
  4. Step 4: Simplify right side
    213,632.40x = 17,902,875,531.90
  5. Step 5: Solve for x
    x = 17,902,875,531.90/213,632.40
  6. Step 6: Final answer
    x = 83,802.25

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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.