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Finding the Fourth Proportional to 102,001, 140,774.58 and 57,289

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Solution

The fourth proportional to 102,001, 140,774.58 and 57,289 is: 79,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001 : 140,774.58 = 57,289 : x
  2. Step 2: Convert to fraction form
    102,001/140,774.58 = 57,289/x
  3. Step 3: Cross multiply
    102,001x = 140,774.58 × 57,289
  4. Step 4: Simplify right side
    102,001x = 8,064,834,913.62
  5. Step 5: Solve for x
    x = 8,064,834,913.62/102,001
  6. Step 6: Final answer
    x = 79,066.23

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Why These Related Problems?

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