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Finding the Fourth Proportional to 152,416.76, 210,408.06 and 101,514.20

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Solution

The fourth proportional to 152,416.76, 210,408.06 and 101,514.20 is: 140,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,416.76 : 210,408.06 = 101,514.20 : x
  2. Step 2: Convert to fraction form
    152,416.76/210,408.06 = 101,514.20/x
  3. Step 3: Cross multiply
    152,416.76x = 210,408.06 × 101,514.20
  4. Step 4: Simplify right side
    152,416.76x = 21,359,405,884.45
  5. Step 5: Solve for x
    x = 21,359,405,884.45/152,416.76
  6. Step 6: Final answer
    x = 140,138.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.