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Finding the Fourth Proportional to 143,983.04, 216,008.64 and 65,097.14

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Solution

The fourth proportional to 143,983.04, 216,008.64 and 65,097.14 is: 97,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,983.04 : 216,008.64 = 65,097.14 : x
  2. Step 2: Convert to fraction form
    143,983.04/216,008.64 = 65,097.14/x
  3. Step 3: Cross multiply
    143,983.04x = 216,008.64 × 65,097.14
  4. Step 4: Simplify right side
    143,983.04x = 14,061,543,599.25
  5. Step 5: Solve for x
    x = 14,061,543,599.25/143,983.04
  6. Step 6: Final answer
    x = 97,661.11

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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.