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Finding the Fourth Proportional to 152,652.19, 210,732.34 and 101,749.76

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Solution

The fourth proportional to 152,652.19, 210,732.34 and 101,749.76 is: 140,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,652.19 : 210,732.34 = 101,749.76 : x
  2. Step 2: Convert to fraction form
    152,652.19/210,732.34 = 101,749.76/x
  3. Step 3: Cross multiply
    152,652.19x = 210,732.34 × 101,749.76
  4. Step 4: Simplify right side
    152,652.19x = 21,441,965,019.24
  5. Step 5: Solve for x
    x = 21,441,965,019.24/152,652.19
  6. Step 6: Final answer
    x = 140,462.87

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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.