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Finding the Fourth Proportional to 101,457.93, 152,186.91 and 57,116.52

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Solution

The fourth proportional to 101,457.93, 152,186.91 and 57,116.52 is: 85,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457.93 : 152,186.91 = 57,116.52 : x
  2. Step 2: Convert to fraction form
    101,457.93/152,186.91 = 57,116.52/x
  3. Step 3: Cross multiply
    101,457.93x = 152,186.91 × 57,116.52
  4. Step 4: Simplify right side
    101,457.93x = 8,692,386,688.75
  5. Step 5: Solve for x
    x = 8,692,386,688.75/101,457.93
  6. Step 6: Final answer
    x = 85,674.79

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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.