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Finding the Fourth Proportional to 253,802.40, 380,530.80 and 96,007.20

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Solution

The fourth proportional to 253,802.40, 380,530.80 and 96,007.20 is: 143,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,802.40 : 380,530.80 = 96,007.20 : x
  2. Step 2: Convert to fraction form
    253,802.40/380,530.80 = 96,007.20/x
  3. Step 3: Cross multiply
    253,802.40x = 380,530.80 × 96,007.20
  4. Step 4: Simplify right side
    253,802.40x = 36,533,696,621.76
  5. Step 5: Solve for x
    x = 36,533,696,621.76/253,802.40
  6. Step 6: Final answer
    x = 143,945.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.