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Finding the Fourth Proportional to 145,841.50, 201,261.27 and 78,773.50

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Solution

The fourth proportional to 145,841.50, 201,261.27 and 78,773.50 is: 108,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841.50 : 201,261.27 = 78,773.50 : x
  2. Step 2: Convert to fraction form
    145,841.50/201,261.27 = 78,773.50/x
  3. Step 3: Cross multiply
    145,841.50x = 201,261.27 × 78,773.50
  4. Step 4: Simplify right side
    145,841.50x = 15,854,054,652.35
  5. Step 5: Solve for x
    x = 15,854,054,652.35/145,841.50
  6. Step 6: Final answer
    x = 108,707.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.