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Finding the Fourth Proportional to 105,412.84, 157,865.87 and 60,297.46

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Solution

The fourth proportional to 105,412.84, 157,865.87 and 60,297.46 is: 90,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.84 : 157,865.87 = 60,297.46 : x
  2. Step 2: Convert to fraction form
    105,412.84/157,865.87 = 60,297.46/x
  3. Step 3: Cross multiply
    105,412.84x = 157,865.87 × 60,297.46
  4. Step 4: Simplify right side
    105,412.84x = 9,518,910,981.69
  5. Step 5: Solve for x
    x = 9,518,910,981.69/105,412.84
  6. Step 6: Final answer
    x = 90,301.25

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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.