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Finding the Fourth Proportional to 101,842.14, 152,762.94 and 57,448.74

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Solution

The fourth proportional to 101,842.14, 152,762.94 and 57,448.74 is: 86,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.14 : 152,762.94 = 57,448.74 : x
  2. Step 2: Convert to fraction form
    101,842.14/152,762.94 = 57,448.74/x
  3. Step 3: Cross multiply
    101,842.14x = 152,762.94 × 57,448.74
  4. Step 4: Simplify right side
    101,842.14x = 8,776,038,421.70
  5. Step 5: Solve for x
    x = 8,776,038,421.70/101,842.14
  6. Step 6: Final answer
    x = 86,172.96

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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.