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Finding the Fourth Proportional to 257,681.16, 386,408.43 and 105,773.94

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Solution

The fourth proportional to 257,681.16, 386,408.43 and 105,773.94 is: 158,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,681.16 : 386,408.43 = 105,773.94 : x
  2. Step 2: Convert to fraction form
    257,681.16/386,408.43 = 105,773.94/x
  3. Step 3: Cross multiply
    257,681.16x = 386,408.43 × 105,773.94
  4. Step 4: Simplify right side
    257,681.16x = 40,871,942,090.31
  5. Step 5: Solve for x
    x = 40,871,942,090.31/257,681.16
  6. Step 6: Final answer
    x = 158,614.40

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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.