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Finding the Fourth Proportional to 210,011.20, 314,980.35 and 76,822.90

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Solution

The fourth proportional to 210,011.20, 314,980.35 and 76,822.90 is: 115,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,011.20 : 314,980.35 = 76,822.90 : x
  2. Step 2: Convert to fraction form
    210,011.20/314,980.35 = 76,822.90/x
  3. Step 3: Cross multiply
    210,011.20x = 314,980.35 × 76,822.90
  4. Step 4: Simplify right side
    210,011.20x = 24,197,703,930.02
  5. Step 5: Solve for x
    x = 24,197,703,930.02/210,011.20
  6. Step 6: Final answer
    x = 115,221.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.