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Finding the Fourth Proportional to 101,471.16, 152,061.11 and 57,004.32

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Solution

The fourth proportional to 101,471.16, 152,061.11 and 57,004.32 is: 85,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,471.16 : 152,061.11 = 57,004.32 : x
  2. Step 2: Convert to fraction form
    101,471.16/152,061.11 = 57,004.32/x
  3. Step 3: Cross multiply
    101,471.16x = 152,061.11 × 57,004.32
  4. Step 4: Simplify right side
    101,471.16x = 8,668,139,888.97
  5. Step 5: Solve for x
    x = 8,668,139,888.97/101,471.16
  6. Step 6: Final answer
    x = 85,424.67

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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.