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Finding the Fourth Proportional to 152,671.72, 210,614.43 and 101,708.14

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Solution

The fourth proportional to 152,671.72, 210,614.43 and 101,708.14 is: 140,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,671.72 : 210,614.43 = 101,708.14 : x
  2. Step 2: Convert to fraction form
    152,671.72/210,614.43 = 101,708.14/x
  3. Step 3: Cross multiply
    152,671.72x = 210,614.43 × 101,708.14
  4. Step 4: Simplify right side
    152,671.72x = 21,421,201,932.46
  5. Step 5: Solve for x
    x = 21,421,201,932.46/152,671.72
  6. Step 6: Final answer
    x = 140,308.91

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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.