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Finding the Fourth Proportional to 201,457.53, 278,011.98 and 110,822.76

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Solution

The fourth proportional to 201,457.53, 278,011.98 and 110,822.76 is: 152,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,457.53 : 278,011.98 = 110,822.76 : x
  2. Step 2: Convert to fraction form
    201,457.53/278,011.98 = 110,822.76/x
  3. Step 3: Cross multiply
    201,457.53x = 278,011.98 × 110,822.76
  4. Step 4: Simplify right side
    201,457.53x = 30,810,054,936.66
  5. Step 5: Solve for x
    x = 30,810,054,936.66/201,457.53
  6. Step 6: Final answer
    x = 152,935.73

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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.