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Finding the Fourth Proportional to 98,709.66, 148,064.49 and 57,133.98

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Solution

The fourth proportional to 98,709.66, 148,064.49 and 57,133.98 is: 85,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709.66 : 148,064.49 = 57,133.98 : x
  2. Step 2: Convert to fraction form
    98,709.66/148,064.49 = 57,133.98/x
  3. Step 3: Cross multiply
    98,709.66x = 148,064.49 × 57,133.98
  4. Step 4: Simplify right side
    98,709.66x = 8,459,513,610.37
  5. Step 5: Solve for x
    x = 8,459,513,610.37/98,709.66
  6. Step 6: Final answer
    x = 85,700.97

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Why These Related Problems?

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