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Finding the Fourth Proportional to 142,134.01, 213,155.65 and 57,894.01

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Solution

The fourth proportional to 142,134.01, 213,155.65 and 57,894.01 is: 86,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134.01 : 213,155.65 = 57,894.01 : x
  2. Step 2: Convert to fraction form
    142,134.01/213,155.65 = 57,894.01/x
  3. Step 3: Cross multiply
    142,134.01x = 213,155.65 × 57,894.01
  4. Step 4: Simplify right side
    142,134.01x = 12,340,434,872.13
  5. Step 5: Solve for x
    x = 12,340,434,872.13/142,134.01
  6. Step 6: Final answer
    x = 86,822.54

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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.