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Finding the Fourth Proportional to 101,762.14, 140,424.15 and 57,041.50

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Solution

The fourth proportional to 101,762.14, 140,424.15 and 57,041.50 is: 78,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762.14 : 140,424.15 = 57,041.50 : x
  2. Step 2: Convert to fraction form
    101,762.14/140,424.15 = 57,041.50/x
  3. Step 3: Cross multiply
    101,762.14x = 140,424.15 × 57,041.50
  4. Step 4: Simplify right side
    101,762.14x = 8,010,004,152.23
  5. Step 5: Solve for x
    x = 8,010,004,152.23/101,762.14
  6. Step 6: Final answer
    x = 78,713.01

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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.