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Finding the Fourth Proportional to 105,421.95, 157,743.54 and 63,327.60

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Solution

The fourth proportional to 105,421.95, 157,743.54 and 63,327.60 is: 94,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.95 : 157,743.54 = 63,327.60 : x
  2. Step 2: Convert to fraction form
    105,421.95/157,743.54 = 63,327.60/x
  3. Step 3: Cross multiply
    105,421.95x = 157,743.54 × 63,327.60
  4. Step 4: Simplify right side
    105,421.95x = 9,989,519,803.70
  5. Step 5: Solve for x
    x = 9,989,519,803.70/105,421.95
  6. Step 6: Final answer
    x = 94,757.49

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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.