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Finding the Fourth Proportional to 152,677.72, 210,622.70 and 101,714.14

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Solution

The fourth proportional to 152,677.72, 210,622.70 and 101,714.14 is: 140,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,677.72 : 210,622.70 = 101,714.14 : x
  2. Step 2: Convert to fraction form
    152,677.72/210,622.70 = 101,714.14/x
  3. Step 3: Cross multiply
    152,677.72x = 210,622.70 × 101,714.14
  4. Step 4: Simplify right side
    152,677.72x = 21,423,306,794.98
  5. Step 5: Solve for x
    x = 21,423,306,794.98/152,677.72
  6. Step 6: Final answer
    x = 140,317.18

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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.