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Finding the Fourth Proportional to 145,614.68, 201,010.24 and 97,895.69

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Solution

The fourth proportional to 145,614.68, 201,010.24 and 97,895.69 is: 135,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614.68 : 201,010.24 = 97,895.69 : x
  2. Step 2: Convert to fraction form
    145,614.68/201,010.24 = 97,895.69/x
  3. Step 3: Cross multiply
    145,614.68x = 201,010.24 × 97,895.69
  4. Step 4: Simplify right side
    145,614.68x = 19,678,036,141.87
  5. Step 5: Solve for x
    x = 19,678,036,141.87/145,614.68
  6. Step 6: Final answer
    x = 135,137.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.