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Finding the Fourth Proportional to 144,204.68, 216,303.24 and 65,261.36

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Solution

The fourth proportional to 144,204.68, 216,303.24 and 65,261.36 is: 97,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,204.68 : 216,303.24 = 65,261.36 : x
  2. Step 2: Convert to fraction form
    144,204.68/216,303.24 = 65,261.36/x
  3. Step 3: Cross multiply
    144,204.68x = 216,303.24 × 65,261.36
  4. Step 4: Simplify right side
    144,204.68x = 14,116,243,614.81
  5. Step 5: Solve for x
    x = 14,116,243,614.81/144,204.68
  6. Step 6: Final answer
    x = 97,890.33

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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.