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Finding the Fourth Proportional to 105,292.36, 157,938.78 and 52,648.84

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Solution

The fourth proportional to 105,292.36, 157,938.78 and 52,648.84 is: 78,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,292.36 : 157,938.78 = 52,648.84 : x
  2. Step 2: Convert to fraction form
    105,292.36/157,938.78 = 52,648.84/x
  3. Step 3: Cross multiply
    105,292.36x = 157,938.78 × 52,648.84
  4. Step 4: Simplify right side
    105,292.36x = 8,315,293,558.02
  5. Step 5: Solve for x
    x = 8,315,293,558.02/105,292.36
  6. Step 6: Final answer
    x = 78,973.38

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1.5x scale

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.