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Finding the Fourth Proportional to 183,201.60, 274,802.40 and 153,677.10

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Solution

The fourth proportional to 183,201.60, 274,802.40 and 153,677.10 is: 230,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,201.60 : 274,802.40 = 153,677.10 : x
  2. Step 2: Convert to fraction form
    183,201.60/274,802.40 = 153,677.10/x
  3. Step 3: Cross multiply
    183,201.60x = 274,802.40 × 153,677.10
  4. Step 4: Simplify right side
    183,201.60x = 42,230,835,905.04
  5. Step 5: Solve for x
    x = 42,230,835,905.04/183,201.60
  6. Step 6: Final answer
    x = 230,515.65

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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.